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Finding the Fourth Proportional to 4,017.52, 6,017.87 and 2,549.40

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Solution

The fourth proportional to 4,017.52, 6,017.87 and 2,549.40 is: 3,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.52 : 6,017.87 = 2,549.40 : x
  2. Step 2: Convert to fraction form
    4,017.52/6,017.87 = 2,549.40/x
  3. Step 3: Cross multiply
    4,017.52x = 6,017.87 × 2,549.40
  4. Step 4: Simplify right side
    4,017.52x = 15,341,957.78
  5. Step 5: Solve for x
    x = 15,341,957.78/4,017.52
  6. Step 6: Final answer
    x = 3,818.76

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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.