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Finding the Fourth Proportional to 3,897.59, 5,378.67 and 2,195.96

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Solution

The fourth proportional to 3,897.59, 5,378.67 and 2,195.96 is: 3,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.59 : 5,378.67 = 2,195.96 : x
  2. Step 2: Convert to fraction form
    3,897.59/5,378.67 = 2,195.96/x
  3. Step 3: Cross multiply
    3,897.59x = 5,378.67 × 2,195.96
  4. Step 4: Simplify right side
    3,897.59x = 11,811,344.17
  5. Step 5: Solve for x
    x = 11,811,344.17/3,897.59
  6. Step 6: Final answer
    x = 3,030.42

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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.