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Finding the Fourth Proportional to 4,139.64, 5,695.92 and 4,041.18

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Solution

The fourth proportional to 4,139.64, 5,695.92 and 4,041.18 is: 5,560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.64 : 5,695.92 = 4,041.18 : x
  2. Step 2: Convert to fraction form
    4,139.64/5,695.92 = 4,041.18/x
  3. Step 3: Cross multiply
    4,139.64x = 5,695.92 × 4,041.18
  4. Step 4: Simplify right side
    4,139.64x = 23,018,237.99
  5. Step 5: Solve for x
    x = 23,018,237.99/4,139.64
  6. Step 6: Final answer
    x = 5,560.44

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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.