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Finding the Fourth Proportional to 3,875.95, 5,349.18 and 2,197.44

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Solution

The fourth proportional to 3,875.95, 5,349.18 and 2,197.44 is: 3,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.95 : 5,349.18 = 2,197.44 : x
  2. Step 2: Convert to fraction form
    3,875.95/5,349.18 = 2,197.44/x
  3. Step 3: Cross multiply
    3,875.95x = 5,349.18 × 2,197.44
  4. Step 4: Simplify right side
    3,875.95x = 11,754,502.10
  5. Step 5: Solve for x
    x = 11,754,502.10/3,875.95
  6. Step 6: Final answer
    x = 3,032.68

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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.