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Finding the Fourth Proportional to 4,286.61, 6,430.43 and 1,512.71

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Solution

The fourth proportional to 4,286.61, 6,430.43 and 1,512.71 is: 2,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.61 : 6,430.43 = 1,512.71 : x
  2. Step 2: Convert to fraction form
    4,286.61/6,430.43 = 1,512.71/x
  3. Step 3: Cross multiply
    4,286.61x = 6,430.43 × 1,512.71
  4. Step 4: Simplify right side
    4,286.61x = 9,727,375.77
  5. Step 5: Solve for x
    x = 9,727,375.77/4,286.61
  6. Step 6: Final answer
    x = 2,269.25

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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.