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Finding the Fourth Proportional to 5,729.64, 7,915.44 and 5,459.64

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Solution

The fourth proportional to 5,729.64, 7,915.44 and 5,459.64 is: 7,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.64 : 7,915.44 = 5,459.64 : x
  2. Step 2: Convert to fraction form
    5,729.64/7,915.44 = 5,459.64/x
  3. Step 3: Cross multiply
    5,729.64x = 7,915.44 × 5,459.64
  4. Step 4: Simplify right side
    5,729.64x = 43,215,452.84
  5. Step 5: Solve for x
    x = 43,215,452.84/5,729.64
  6. Step 6: Final answer
    x = 7,542.44

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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.