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Finding the Fourth Proportional to 4,283.47, 6,414.72 and 3,867.94

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Solution

The fourth proportional to 4,283.47, 6,414.72 and 3,867.94 is: 5,792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.47 : 6,414.72 = 3,867.94 : x
  2. Step 2: Convert to fraction form
    4,283.47/6,414.72 = 3,867.94/x
  3. Step 3: Cross multiply
    4,283.47x = 6,414.72 × 3,867.94
  4. Step 4: Simplify right side
    4,283.47x = 24,811,752.08
  5. Step 5: Solve for x
    x = 24,811,752.08/4,283.47
  6. Step 6: Final answer
    x = 5,792.44

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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.