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Finding the Fourth Proportional to 5,884.74, 8,120.90 and 3,232.14

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Solution

The fourth proportional to 5,884.74, 8,120.90 and 3,232.14 is: 4,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.74 : 8,120.90 = 3,232.14 : x
  2. Step 2: Convert to fraction form
    5,884.74/8,120.90 = 3,232.14/x
  3. Step 3: Cross multiply
    5,884.74x = 8,120.90 × 3,232.14
  4. Step 4: Simplify right side
    5,884.74x = 26,247,869.57
  5. Step 5: Solve for x
    x = 26,247,869.57/5,884.74
  6. Step 6: Final answer
    x = 4,460.33

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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.