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Finding the Fourth Proportional to 4,892.34, 7,331.87 and 2,254.04

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Solution

The fourth proportional to 4,892.34, 7,331.87 and 2,254.04 is: 3,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.34 : 7,331.87 = 2,254.04 : x
  2. Step 2: Convert to fraction form
    4,892.34/7,331.87 = 2,254.04/x
  3. Step 3: Cross multiply
    4,892.34x = 7,331.87 × 2,254.04
  4. Step 4: Simplify right side
    4,892.34x = 16,526,328.25
  5. Step 5: Solve for x
    x = 16,526,328.25/4,892.34
  6. Step 6: Final answer
    x = 3,378.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.