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Finding the Fourth Proportional to 4,262.95, 5,882.85 and 2,494.21

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Solution

The fourth proportional to 4,262.95, 5,882.85 and 2,494.21 is: 3,442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.95 : 5,882.85 = 2,494.21 : x
  2. Step 2: Convert to fraction form
    4,262.95/5,882.85 = 2,494.21/x
  3. Step 3: Cross multiply
    4,262.95x = 5,882.85 × 2,494.21
  4. Step 4: Simplify right side
    4,262.95x = 14,673,063.30
  5. Step 5: Solve for x
    x = 14,673,063.30/4,262.95
  6. Step 6: Final answer
    x = 3,442.00

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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.