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Finding the Fourth Proportional to 5,742,502.80, 8,614,920.60 and 1,956,368.40

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Solution

The fourth proportional to 5,742,502.80, 8,614,920.60 and 1,956,368.40 is: 2,934,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742,502.80 : 8,614,920.60 = 1,956,368.40 : x
  2. Step 2: Convert to fraction form
    5,742,502.80/8,614,920.60 = 1,956,368.40/x
  3. Step 3: Cross multiply
    5,742,502.80x = 8,614,920.60 × 1,956,368.40
  4. Step 4: Simplify right side
    5,742,502.80x = 16,853,958,430,349.04
  5. Step 5: Solve for x
    x = 16,853,958,430,349.04/5,742,502.80
  6. Step 6: Final answer
    x = 2,934,949.97

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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.