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Finding the Fourth Proportional to 5,689.32, 7,851.42 and 3,331.56

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Solution

The fourth proportional to 5,689.32, 7,851.42 and 3,331.56 is: 4,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.32 : 7,851.42 = 3,331.56 : x
  2. Step 2: Convert to fraction form
    5,689.32/7,851.42 = 3,331.56/x
  3. Step 3: Cross multiply
    5,689.32x = 7,851.42 × 3,331.56
  4. Step 4: Simplify right side
    5,689.32x = 26,157,476.82
  5. Step 5: Solve for x
    x = 26,157,476.82/5,689.32
  6. Step 6: Final answer
    x = 4,597.65

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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.