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Finding the Fourth Proportional to 4,206.71, 6,310.61 and 1,432.64

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Solution

The fourth proportional to 4,206.71, 6,310.61 and 1,432.64 is: 2,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.71 : 6,310.61 = 1,432.64 : x
  2. Step 2: Convert to fraction form
    4,206.71/6,310.61 = 1,432.64/x
  3. Step 3: Cross multiply
    4,206.71x = 6,310.61 × 1,432.64
  4. Step 4: Simplify right side
    4,206.71x = 9,040,810.80
  5. Step 5: Solve for x
    x = 9,040,810.80/4,206.71
  6. Step 6: Final answer
    x = 2,149.14

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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.