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Finding the Fourth Proportional to 4,337.38, 6,507.11 and 1,415.69

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Solution

The fourth proportional to 4,337.38, 6,507.11 and 1,415.69 is: 2,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.38 : 6,507.11 = 1,415.69 : x
  2. Step 2: Convert to fraction form
    4,337.38/6,507.11 = 1,415.69/x
  3. Step 3: Cross multiply
    4,337.38x = 6,507.11 × 1,415.69
  4. Step 4: Simplify right side
    4,337.38x = 9,212,050.56
  5. Step 5: Solve for x
    x = 9,212,050.56/4,337.38
  6. Step 6: Final answer
    x = 2,123.87

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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.