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Finding the Fourth Proportional to 4,261.62, 5,880.30 and 3,917.13

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Solution

The fourth proportional to 4,261.62, 5,880.30 and 3,917.13 is: 5,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,261.62 : 5,880.30 = 3,917.13 : x
  2. Step 2: Convert to fraction form
    4,261.62/5,880.30 = 3,917.13/x
  3. Step 3: Cross multiply
    4,261.62x = 5,880.30 × 3,917.13
  4. Step 4: Simplify right side
    4,261.62x = 23,033,895.85
  5. Step 5: Solve for x
    x = 23,033,895.85/4,261.62
  6. Step 6: Final answer
    x = 5,404.96

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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.