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Finding the Fourth Proportional to 5,706.55, 7,872.63 and 3,468.29

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Solution

The fourth proportional to 5,706.55, 7,872.63 and 3,468.29 is: 4,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.55 : 7,872.63 = 3,468.29 : x
  2. Step 2: Convert to fraction form
    5,706.55/7,872.63 = 3,468.29/x
  3. Step 3: Cross multiply
    5,706.55x = 7,872.63 × 3,468.29
  4. Step 4: Simplify right side
    5,706.55x = 27,304,511.53
  5. Step 5: Solve for x
    x = 27,304,511.53/5,706.55
  6. Step 6: Final answer
    x = 4,784.77

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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.