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Finding the Fourth Proportional to 7,083.88, 9,775.92 and 3,940

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Solution

The fourth proportional to 7,083.88, 9,775.92 and 3,940 is: 5,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.88 : 9,775.92 = 3,940 : x
  2. Step 2: Convert to fraction form
    7,083.88/9,775.92 = 3,940/x
  3. Step 3: Cross multiply
    7,083.88x = 9,775.92 × 3,940
  4. Step 4: Simplify right side
    7,083.88x = 38,517,124.80
  5. Step 5: Solve for x
    x = 38,517,124.80/7,083.88
  6. Step 6: Final answer
    x = 5,437.29

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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.