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Finding the Fourth Proportional to 3,932.50, 5,897.34 and 1,299.52

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Solution

The fourth proportional to 3,932.50, 5,897.34 and 1,299.52 is: 1,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.50 : 5,897.34 = 1,299.52 : x
  2. Step 2: Convert to fraction form
    3,932.50/5,897.34 = 1,299.52/x
  3. Step 3: Cross multiply
    3,932.50x = 5,897.34 × 1,299.52
  4. Step 4: Simplify right side
    3,932.50x = 7,663,707.54
  5. Step 5: Solve for x
    x = 7,663,707.54/3,932.50
  6. Step 6: Final answer
    x = 1,948.81

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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.