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Finding the Fourth Proportional to 3,897.68, 5,379.09 and 2,325.74

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Solution

The fourth proportional to 3,897.68, 5,379.09 and 2,325.74 is: 3,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.68 : 5,379.09 = 2,325.74 : x
  2. Step 2: Convert to fraction form
    3,897.68/5,379.09 = 2,325.74/x
  3. Step 3: Cross multiply
    3,897.68x = 5,379.09 × 2,325.74
  4. Step 4: Simplify right side
    3,897.68x = 12,510,364.78
  5. Step 5: Solve for x
    x = 12,510,364.78/3,897.68
  6. Step 6: Final answer
    x = 3,209.70

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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.