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Finding the Fourth Proportional to 4,574.27, 6,862.02 and 1,287.70

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Solution

The fourth proportional to 4,574.27, 6,862.02 and 1,287.70 is: 1,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.27 : 6,862.02 = 1,287.70 : x
  2. Step 2: Convert to fraction form
    4,574.27/6,862.02 = 1,287.70/x
  3. Step 3: Cross multiply
    4,574.27x = 6,862.02 × 1,287.70
  4. Step 4: Simplify right side
    4,574.27x = 8,836,201.17
  5. Step 5: Solve for x
    x = 8,836,201.17/4,574.27
  6. Step 6: Final answer
    x = 1,931.72

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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.