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Finding the Fourth Proportional to 5,732.64, 7,915.32 and 4,404.24

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Solution

The fourth proportional to 5,732.64, 7,915.32 and 4,404.24 is: 6,081.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.64 : 7,915.32 = 4,404.24 : x
  2. Step 2: Convert to fraction form
    5,732.64/7,915.32 = 4,404.24/x
  3. Step 3: Cross multiply
    5,732.64x = 7,915.32 × 4,404.24
  4. Step 4: Simplify right side
    5,732.64x = 34,860,968.96
  5. Step 5: Solve for x
    x = 34,860,968.96/5,732.64
  6. Step 6: Final answer
    x = 6,081.14

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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.