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Finding the Fourth Proportional to 5,737.52, 7,921.44 and 4,476.35

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Solution

The fourth proportional to 5,737.52, 7,921.44 and 4,476.35 is: 6,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.52 : 7,921.44 = 4,476.35 : x
  2. Step 2: Convert to fraction form
    5,737.52/7,921.44 = 4,476.35/x
  3. Step 3: Cross multiply
    5,737.52x = 7,921.44 × 4,476.35
  4. Step 4: Simplify right side
    5,737.52x = 35,459,098.34
  5. Step 5: Solve for x
    x = 35,459,098.34/5,737.52
  6. Step 6: Final answer
    x = 6,180.22

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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.