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Finding the Fourth Proportional to 3,872.02, 5,347.74 and 2,618.26

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Solution

The fourth proportional to 3,872.02, 5,347.74 and 2,618.26 is: 3,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.02 : 5,347.74 = 2,618.26 : x
  2. Step 2: Convert to fraction form
    3,872.02/5,347.74 = 2,618.26/x
  3. Step 3: Cross multiply
    3,872.02x = 5,347.74 × 2,618.26
  4. Step 4: Simplify right side
    3,872.02x = 14,001,773.73
  5. Step 5: Solve for x
    x = 14,001,773.73/3,872.02
  6. Step 6: Final answer
    x = 3,616.14

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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.