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Finding the Fourth Proportional to 4,156.93, 5,724.89 and 4,066.21

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Solution

The fourth proportional to 4,156.93, 5,724.89 and 4,066.21 is: 5,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.93 : 5,724.89 = 4,066.21 : x
  2. Step 2: Convert to fraction form
    4,156.93/5,724.89 = 4,066.21/x
  3. Step 3: Cross multiply
    4,156.93x = 5,724.89 × 4,066.21
  4. Step 4: Simplify right side
    4,156.93x = 23,278,604.97
  5. Step 5: Solve for x
    x = 23,278,604.97/4,156.93
  6. Step 6: Final answer
    x = 5,599.95

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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.