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Finding the Fourth Proportional to 4,371.84, 6,561 and 2,425.68

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Solution

The fourth proportional to 4,371.84, 6,561 and 2,425.68 is: 3,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,371.84 : 6,561 = 2,425.68 : x
  2. Step 2: Convert to fraction form
    4,371.84/6,561 = 2,425.68/x
  3. Step 3: Cross multiply
    4,371.84x = 6,561 × 2,425.68
  4. Step 4: Simplify right side
    4,371.84x = 15,914,886.48
  5. Step 5: Solve for x
    x = 15,914,886.48/4,371.84
  6. Step 6: Final answer
    x = 3,640.32

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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.