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Finding the Fourth Proportional to 3,639.24, 5,461.65 and 2,815.47

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Solution

The fourth proportional to 3,639.24, 5,461.65 and 2,815.47 is: 4,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.24 : 5,461.65 = 2,815.47 : x
  2. Step 2: Convert to fraction form
    3,639.24/5,461.65 = 2,815.47/x
  3. Step 3: Cross multiply
    3,639.24x = 5,461.65 × 2,815.47
  4. Step 4: Simplify right side
    3,639.24x = 15,377,111.73
  5. Step 5: Solve for x
    x = 15,377,111.73/3,639.24
  6. Step 6: Final answer
    x = 4,225.36

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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.