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Finding the Fourth Proportional to 4,577.89, 6,850.42 and 3,963.71

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Solution

The fourth proportional to 4,577.89, 6,850.42 and 3,963.71 is: 5,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.89 : 6,850.42 = 3,963.71 : x
  2. Step 2: Convert to fraction form
    4,577.89/6,850.42 = 3,963.71/x
  3. Step 3: Cross multiply
    4,577.89x = 6,850.42 × 3,963.71
  4. Step 4: Simplify right side
    4,577.89x = 27,153,078.26
  5. Step 5: Solve for x
    x = 27,153,078.26/4,577.89
  6. Step 6: Final answer
    x = 5,931.35

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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.