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Finding the Fourth Proportional to 5,294.32, 7,939.84 and 4,251.86

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Solution

The fourth proportional to 5,294.32, 7,939.84 and 4,251.86 is: 6,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.32 : 7,939.84 = 4,251.86 : x
  2. Step 2: Convert to fraction form
    5,294.32/7,939.84 = 4,251.86/x
  3. Step 3: Cross multiply
    5,294.32x = 7,939.84 × 4,251.86
  4. Step 4: Simplify right side
    5,294.32x = 33,759,088.10
  5. Step 5: Solve for x
    x = 33,759,088.10/5,294.32
  6. Step 6: Final answer
    x = 6,376.47

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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.