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Finding the Fourth Proportional to 3,477.52, 5,203.20 and 2,439.54

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Solution

The fourth proportional to 3,477.52, 5,203.20 and 2,439.54 is: 3,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.52 : 5,203.20 = 2,439.54 : x
  2. Step 2: Convert to fraction form
    3,477.52/5,203.20 = 2,439.54/x
  3. Step 3: Cross multiply
    3,477.52x = 5,203.20 × 2,439.54
  4. Step 4: Simplify right side
    3,477.52x = 12,693,417.73
  5. Step 5: Solve for x
    x = 12,693,417.73/3,477.52
  6. Step 6: Final answer
    x = 3,650.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.