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Finding the Fourth Proportional to 6,897.40, 9,518.38 and 3,753.56

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Solution

The fourth proportional to 6,897.40, 9,518.38 and 3,753.56 is: 5,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.40 : 9,518.38 = 3,753.56 : x
  2. Step 2: Convert to fraction form
    6,897.40/9,518.38 = 3,753.56/x
  3. Step 3: Cross multiply
    6,897.40x = 9,518.38 × 3,753.56
  4. Step 4: Simplify right side
    6,897.40x = 35,727,810.43
  5. Step 5: Solve for x
    x = 35,727,810.43/6,897.40
  6. Step 6: Final answer
    x = 5,179.90

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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.