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Finding the Fourth Proportional to 5,742,980.40, 8,613,887.40 and 1,956,408.60

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Solution

The fourth proportional to 5,742,980.40, 8,613,887.40 and 1,956,408.60 is: 2,934,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742,980.40 : 8,613,887.40 = 1,956,408.60 : x
  2. Step 2: Convert to fraction form
    5,742,980.40/8,613,887.40 = 1,956,408.60/x
  3. Step 3: Cross multiply
    5,742,980.40x = 8,613,887.40 × 1,956,408.60
  4. Step 4: Simplify right side
    5,742,980.40x = 16,852,283,388,791.64
  5. Step 5: Solve for x
    x = 16,852,283,388,791.64/5,742,980.40
  6. Step 6: Final answer
    x = 2,934,414.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.