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Finding the Fourth Proportional to 5,880.32, 8,116.09 and 3,523.82

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Solution

The fourth proportional to 5,880.32, 8,116.09 and 3,523.82 is: 4,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.32 : 8,116.09 = 3,523.82 : x
  2. Step 2: Convert to fraction form
    5,880.32/8,116.09 = 3,523.82/x
  3. Step 3: Cross multiply
    5,880.32x = 8,116.09 × 3,523.82
  4. Step 4: Simplify right side
    5,880.32x = 28,599,640.26
  5. Step 5: Solve for x
    x = 28,599,640.26/5,880.32
  6. Step 6: Final answer
    x = 4,863.62

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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.