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Finding the Fourth Proportional to 3,953.48, 5,932.12 and 1,981.14

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Solution

The fourth proportional to 3,953.48, 5,932.12 and 1,981.14 is: 2,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.48 : 5,932.12 = 1,981.14 : x
  2. Step 2: Convert to fraction form
    3,953.48/5,932.12 = 1,981.14/x
  3. Step 3: Cross multiply
    3,953.48x = 5,932.12 × 1,981.14
  4. Step 4: Simplify right side
    3,953.48x = 11,752,360.22
  5. Step 5: Solve for x
    x = 11,752,360.22/3,953.48
  6. Step 6: Final answer
    x = 2,972.66

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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.