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Finding the Fourth Proportional to 4,337.68, 6,505.82 and 1,415.32

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Solution

The fourth proportional to 4,337.68, 6,505.82 and 1,415.32 is: 2,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.68 : 6,505.82 = 1,415.32 : x
  2. Step 2: Convert to fraction form
    4,337.68/6,505.82 = 1,415.32/x
  3. Step 3: Cross multiply
    4,337.68x = 6,505.82 × 1,415.32
  4. Step 4: Simplify right side
    4,337.68x = 9,207,817.16
  5. Step 5: Solve for x
    x = 9,207,817.16/4,337.68
  6. Step 6: Final answer
    x = 2,122.75

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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.