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Finding the Fourth Proportional to 4,207.38, 6,310.65 and 1,285.71

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Solution

The fourth proportional to 4,207.38, 6,310.65 and 1,285.71 is: 1,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.38 : 6,310.65 = 1,285.71 : x
  2. Step 2: Convert to fraction form
    4,207.38/6,310.65 = 1,285.71/x
  3. Step 3: Cross multiply
    4,207.38x = 6,310.65 × 1,285.71
  4. Step 4: Simplify right side
    4,207.38x = 8,113,665.81
  5. Step 5: Solve for x
    x = 8,113,665.81/4,207.38
  6. Step 6: Final answer
    x = 1,928.44

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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.