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Finding the Fourth Proportional to 3,934.88, 5,902.44 and 1,013.16

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Solution

The fourth proportional to 3,934.88, 5,902.44 and 1,013.16 is: 1,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.88 : 5,902.44 = 1,013.16 : x
  2. Step 2: Convert to fraction form
    3,934.88/5,902.44 = 1,013.16/x
  3. Step 3: Cross multiply
    3,934.88x = 5,902.44 × 1,013.16
  4. Step 4: Simplify right side
    3,934.88x = 5,980,116.11
  5. Step 5: Solve for x
    x = 5,980,116.11/3,934.88
  6. Step 6: Final answer
    x = 1,519.77

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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.