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Finding the Fourth Proportional to 5,140.82, 7,094.30 and 2,782.91

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Solution

The fourth proportional to 5,140.82, 7,094.30 and 2,782.91 is: 3,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.82 : 7,094.30 = 2,782.91 : x
  2. Step 2: Convert to fraction form
    5,140.82/7,094.30 = 2,782.91/x
  3. Step 3: Cross multiply
    5,140.82x = 7,094.30 × 2,782.91
  4. Step 4: Simplify right side
    5,140.82x = 19,742,749.03
  5. Step 5: Solve for x
    x = 19,742,749.03/5,140.82
  6. Step 6: Final answer
    x = 3,840.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.