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Finding the Fourth Proportional to 3,892.44, 5,370.05 and 2,397.77

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Solution

The fourth proportional to 3,892.44, 5,370.05 and 2,397.77 is: 3,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.44 : 5,370.05 = 2,397.77 : x
  2. Step 2: Convert to fraction form
    3,892.44/5,370.05 = 2,397.77/x
  3. Step 3: Cross multiply
    3,892.44x = 5,370.05 × 2,397.77
  4. Step 4: Simplify right side
    3,892.44x = 12,876,105.95
  5. Step 5: Solve for x
    x = 12,876,105.95/3,892.44
  6. Step 6: Final answer
    x = 3,307.98

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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.