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Finding the Fourth Proportional to 5,857.60, 8,082.96 and 3,340.32

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Solution

The fourth proportional to 5,857.60, 8,082.96 and 3,340.32 is: 4,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.60 : 8,082.96 = 3,340.32 : x
  2. Step 2: Convert to fraction form
    5,857.60/8,082.96 = 3,340.32/x
  3. Step 3: Cross multiply
    5,857.60x = 8,082.96 × 3,340.32
  4. Step 4: Simplify right side
    5,857.60x = 26,999,672.95
  5. Step 5: Solve for x
    x = 26,999,672.95/5,857.60
  6. Step 6: Final answer
    x = 4,609.34

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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.