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Finding the Fourth Proportional to 5,884.64, 8,120.87 and 3,232.11

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Solution

The fourth proportional to 5,884.64, 8,120.87 and 3,232.11 is: 4,460.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.64 : 8,120.87 = 3,232.11 : x
  2. Step 2: Convert to fraction form
    5,884.64/8,120.87 = 3,232.11/x
  3. Step 3: Cross multiply
    5,884.64x = 8,120.87 × 3,232.11
  4. Step 4: Simplify right side
    5,884.64x = 26,247,545.14
  5. Step 5: Solve for x
    x = 26,247,545.14/5,884.64
  6. Step 6: Final answer
    x = 4,460.35

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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.