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Finding the Fourth Proportional to 4,610.64, 6,915.96 and 2,013.24

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Solution

The fourth proportional to 4,610.64, 6,915.96 and 2,013.24 is: 3,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.64 : 6,915.96 = 2,013.24 : x
  2. Step 2: Convert to fraction form
    4,610.64/6,915.96 = 2,013.24/x
  3. Step 3: Cross multiply
    4,610.64x = 6,915.96 × 2,013.24
  4. Step 4: Simplify right side
    4,610.64x = 13,923,487.31
  5. Step 5: Solve for x
    x = 13,923,487.31/4,610.64
  6. Step 6: Final answer
    x = 3,019.86

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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.