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Finding the Fourth Proportional to 3,953.04, 5,932.17 and 1,487.94

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Solution

The fourth proportional to 3,953.04, 5,932.17 and 1,487.94 is: 2,232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.04 : 5,932.17 = 1,487.94 : x
  2. Step 2: Convert to fraction form
    3,953.04/5,932.17 = 1,487.94/x
  3. Step 3: Cross multiply
    3,953.04x = 5,932.17 × 1,487.94
  4. Step 4: Simplify right side
    3,953.04x = 8,826,713.03
  5. Step 5: Solve for x
    x = 8,826,713.03/3,953.04
  6. Step 6: Final answer
    x = 2,232.89

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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.