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Finding the Fourth Proportional to 5,077.62, 7,607.72 and 4,564.04

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Solution

The fourth proportional to 5,077.62, 7,607.72 and 4,564.04 is: 6,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.62 : 7,607.72 = 4,564.04 : x
  2. Step 2: Convert to fraction form
    5,077.62/7,607.72 = 4,564.04/x
  3. Step 3: Cross multiply
    5,077.62x = 7,607.72 × 4,564.04
  4. Step 4: Simplify right side
    5,077.62x = 34,721,877.53
  5. Step 5: Solve for x
    x = 34,721,877.53/5,077.62
  6. Step 6: Final answer
    x = 6,838.22

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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.