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Finding the Fourth Proportional to 4,862.50, 6,710.25 and 2,654.50

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Solution

The fourth proportional to 4,862.50, 6,710.25 and 2,654.50 is: 3,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.50 : 6,710.25 = 2,654.50 : x
  2. Step 2: Convert to fraction form
    4,862.50/6,710.25 = 2,654.50/x
  3. Step 3: Cross multiply
    4,862.50x = 6,710.25 × 2,654.50
  4. Step 4: Simplify right side
    4,862.50x = 17,812,358.63
  5. Step 5: Solve for x
    x = 17,812,358.63/4,862.50
  6. Step 6: Final answer
    x = 3,663.21

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