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Finding the Fourth Proportional to 5,689.37, 7,851.13 and 3,331.46

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Solution

The fourth proportional to 5,689.37, 7,851.13 and 3,331.46 is: 4,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.37 : 7,851.13 = 3,331.46 : x
  2. Step 2: Convert to fraction form
    5,689.37/7,851.13 = 3,331.46/x
  3. Step 3: Cross multiply
    5,689.37x = 7,851.13 × 3,331.46
  4. Step 4: Simplify right side
    5,689.37x = 26,155,736.85
  5. Step 5: Solve for x
    x = 26,155,736.85/5,689.37
  6. Step 6: Final answer
    x = 4,597.30

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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.