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Finding the Fourth Proportional to 3,614.88, 5,422.05 and 1,018.02

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Solution

The fourth proportional to 3,614.88, 5,422.05 and 1,018.02 is: 1,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.88 : 5,422.05 = 1,018.02 : x
  2. Step 2: Convert to fraction form
    3,614.88/5,422.05 = 1,018.02/x
  3. Step 3: Cross multiply
    3,614.88x = 5,422.05 × 1,018.02
  4. Step 4: Simplify right side
    3,614.88x = 5,519,755.34
  5. Step 5: Solve for x
    x = 5,519,755.34/3,614.88
  6. Step 6: Final answer
    x = 1,526.95

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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.