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Finding the Fourth Proportional to 5,897.70, 8,138.45 and 3,379.78

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Solution

The fourth proportional to 5,897.70, 8,138.45 and 3,379.78 is: 4,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.70 : 8,138.45 = 3,379.78 : x
  2. Step 2: Convert to fraction form
    5,897.70/8,138.45 = 3,379.78/x
  3. Step 3: Cross multiply
    5,897.70x = 8,138.45 × 3,379.78
  4. Step 4: Simplify right side
    5,897.70x = 27,506,170.54
  5. Step 5: Solve for x
    x = 27,506,170.54/5,897.70
  6. Step 6: Final answer
    x = 4,663.88

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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.