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Finding the Fourth Proportional to 4,261.95, 5,882.22 and 2,494.53

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Solution

The fourth proportional to 4,261.95, 5,882.22 and 2,494.53 is: 3,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261.95 : 5,882.22 = 2,494.53 : x
  2. Step 2: Convert to fraction form
    4,261.95/5,882.22 = 2,494.53/x
  3. Step 3: Cross multiply
    4,261.95x = 5,882.22 × 2,494.53
  4. Step 4: Simplify right side
    4,261.95x = 14,673,374.26
  5. Step 5: Solve for x
    x = 14,673,374.26/4,261.95
  6. Step 6: Final answer
    x = 3,442.88

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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.