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Finding the Fourth Proportional to 4,761.47, 6,569.30 and 3,084.17

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Solution

The fourth proportional to 4,761.47, 6,569.30 and 3,084.17 is: 4,255.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.47 : 6,569.30 = 3,084.17 : x
  2. Step 2: Convert to fraction form
    4,761.47/6,569.30 = 3,084.17/x
  3. Step 3: Cross multiply
    4,761.47x = 6,569.30 × 3,084.17
  4. Step 4: Simplify right side
    4,761.47x = 20,260,812.84
  5. Step 5: Solve for x
    x = 20,260,812.84/4,761.47
  6. Step 6: Final answer
    x = 4,255.16

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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.