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Finding the Fourth Proportional to 4,073.40, 5,618.16 and 2,745

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Solution

The fourth proportional to 4,073.40, 5,618.16 and 2,745 is: 3,785.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.40 : 5,618.16 = 2,745 : x
  2. Step 2: Convert to fraction form
    4,073.40/5,618.16 = 2,745/x
  3. Step 3: Cross multiply
    4,073.40x = 5,618.16 × 2,745
  4. Step 4: Simplify right side
    4,073.40x = 15,421,849.20
  5. Step 5: Solve for x
    x = 15,421,849.20/4,073.40
  6. Step 6: Final answer
    x = 3,785.99

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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.