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Finding the Fourth Proportional to 7,043.20, 9,719.92 and 3,899.39

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Solution

The fourth proportional to 7,043.20, 9,719.92 and 3,899.39 is: 5,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,043.20 : 9,719.92 = 3,899.39 : x
  2. Step 2: Convert to fraction form
    7,043.20/9,719.92 = 3,899.39/x
  3. Step 3: Cross multiply
    7,043.20x = 9,719.92 × 3,899.39
  4. Step 4: Simplify right side
    7,043.20x = 37,901,780.77
  5. Step 5: Solve for x
    x = 37,901,780.77/7,043.20
  6. Step 6: Final answer
    x = 5,381.33

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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.