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Finding the Fourth Proportional to 3,875.74, 5,349.04 and 2,197.76

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Solution

The fourth proportional to 3,875.74, 5,349.04 and 2,197.76 is: 3,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.74 : 5,349.04 = 2,197.76 : x
  2. Step 2: Convert to fraction form
    3,875.74/5,349.04 = 2,197.76/x
  3. Step 3: Cross multiply
    3,875.74x = 5,349.04 × 2,197.76
  4. Step 4: Simplify right side
    3,875.74x = 11,755,873.91
  5. Step 5: Solve for x
    x = 11,755,873.91/3,875.74
  6. Step 6: Final answer
    x = 3,033.20

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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.