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Finding the Fourth Proportional to 3,972.29, 5,480.65 and 3,130.38

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Solution

The fourth proportional to 3,972.29, 5,480.65 and 3,130.38 is: 4,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.29 : 5,480.65 = 3,130.38 : x
  2. Step 2: Convert to fraction form
    3,972.29/5,480.65 = 3,130.38/x
  3. Step 3: Cross multiply
    3,972.29x = 5,480.65 × 3,130.38
  4. Step 4: Simplify right side
    3,972.29x = 17,156,530.85
  5. Step 5: Solve for x
    x = 17,156,530.85/3,972.29
  6. Step 6: Final answer
    x = 4,319.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.