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Finding the Fourth Proportional to 7,084.20, 9,775.95 and 3,897.48

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Solution

The fourth proportional to 7,084.20, 9,775.95 and 3,897.48 is: 5,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.20 : 9,775.95 = 3,897.48 : x
  2. Step 2: Convert to fraction form
    7,084.20/9,775.95 = 3,897.48/x
  3. Step 3: Cross multiply
    7,084.20x = 9,775.95 × 3,897.48
  4. Step 4: Simplify right side
    7,084.20x = 38,101,569.61
  5. Step 5: Solve for x
    x = 38,101,569.61/7,084.20
  6. Step 6: Final answer
    x = 5,378.39

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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.