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Finding the Fourth Proportional to 3,527.24, 4,863 and 2,266.04

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Solution

The fourth proportional to 3,527.24, 4,863 and 2,266.04 is: 3,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.24 : 4,863 = 2,266.04 : x
  2. Step 2: Convert to fraction form
    3,527.24/4,863 = 2,266.04/x
  3. Step 3: Cross multiply
    3,527.24x = 4,863 × 2,266.04
  4. Step 4: Simplify right side
    3,527.24x = 11,019,752.52
  5. Step 5: Solve for x
    x = 11,019,752.52/3,527.24
  6. Step 6: Final answer
    x = 3,124.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.