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Finding the Fourth Proportional to 5,101.20, 7,043.04 and 3,920.16

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Solution

The fourth proportional to 5,101.20, 7,043.04 and 3,920.16 is: 5,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.20 : 7,043.04 = 3,920.16 : x
  2. Step 2: Convert to fraction form
    5,101.20/7,043.04 = 3,920.16/x
  3. Step 3: Cross multiply
    5,101.20x = 7,043.04 × 3,920.16
  4. Step 4: Simplify right side
    5,101.20x = 27,609,843.69
  5. Step 5: Solve for x
    x = 27,609,843.69/5,101.20
  6. Step 6: Final answer
    x = 5,412.42

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