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Finding the Fourth Proportional to 3,251.47, 4,877.72 and 1,059.69

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Solution

The fourth proportional to 3,251.47, 4,877.72 and 1,059.69 is: 1,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.47 : 4,877.72 = 1,059.69 : x
  2. Step 2: Convert to fraction form
    3,251.47/4,877.72 = 1,059.69/x
  3. Step 3: Cross multiply
    3,251.47x = 4,877.72 × 1,059.69
  4. Step 4: Simplify right side
    3,251.47x = 5,168,878.00
  5. Step 5: Solve for x
    x = 5,168,878.00/3,251.47
  6. Step 6: Final answer
    x = 1,589.70

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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.