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Finding the Fourth Proportional to 5,107.51, 7,654.14 and 2,762.47

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Solution

The fourth proportional to 5,107.51, 7,654.14 and 2,762.47 is: 4,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.51 : 7,654.14 = 2,762.47 : x
  2. Step 2: Convert to fraction form
    5,107.51/7,654.14 = 2,762.47/x
  3. Step 3: Cross multiply
    5,107.51x = 7,654.14 × 2,762.47
  4. Step 4: Simplify right side
    5,107.51x = 21,144,332.13
  5. Step 5: Solve for x
    x = 21,144,332.13/5,107.51
  6. Step 6: Final answer
    x = 4,139.85

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