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Finding the Fourth Proportional to 4,286.64, 6,432.40 and 1,691.40

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Solution

The fourth proportional to 4,286.64, 6,432.40 and 1,691.40 is: 2,538.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.64 : 6,432.40 = 1,691.40 : x
  2. Step 2: Convert to fraction form
    4,286.64/6,432.40 = 1,691.40/x
  3. Step 3: Cross multiply
    4,286.64x = 6,432.40 × 1,691.40
  4. Step 4: Simplify right side
    4,286.64x = 10,879,761.36
  5. Step 5: Solve for x
    x = 10,879,761.36/4,286.64
  6. Step 6: Final answer
    x = 2,538.06

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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.