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Finding the Fourth Proportional to 3,472.50, 5,201.04 and 2,483.48

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Solution

The fourth proportional to 3,472.50, 5,201.04 and 2,483.48 is: 3,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.50 : 5,201.04 = 2,483.48 : x
  2. Step 2: Convert to fraction form
    3,472.50/5,201.04 = 2,483.48/x
  3. Step 3: Cross multiply
    3,472.50x = 5,201.04 × 2,483.48
  4. Step 4: Simplify right side
    3,472.50x = 12,916,678.82
  5. Step 5: Solve for x
    x = 12,916,678.82/3,472.50
  6. Step 6: Final answer
    x = 3,719.71

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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.