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Finding the Fourth Proportional to 4,337.43, 6,507.65 and 3,152.58

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Solution

The fourth proportional to 4,337.43, 6,507.65 and 3,152.58 is: 4,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.43 : 6,507.65 = 3,152.58 : x
  2. Step 2: Convert to fraction form
    4,337.43/6,507.65 = 3,152.58/x
  3. Step 3: Cross multiply
    4,337.43x = 6,507.65 × 3,152.58
  4. Step 4: Simplify right side
    4,337.43x = 20,515,887.24
  5. Step 5: Solve for x
    x = 20,515,887.24/4,337.43
  6. Step 6: Final answer
    x = 4,729.96

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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.