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Finding the Fourth Proportional to 3,380.37, 5,071.14 and 1,040.34

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Solution

The fourth proportional to 3,380.37, 5,071.14 and 1,040.34 is: 1,560.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.37 : 5,071.14 = 1,040.34 : x
  2. Step 2: Convert to fraction form
    3,380.37/5,071.14 = 1,040.34/x
  3. Step 3: Cross multiply
    3,380.37x = 5,071.14 × 1,040.34
  4. Step 4: Simplify right side
    3,380.37x = 5,275,728.80
  5. Step 5: Solve for x
    x = 5,275,728.80/3,380.37
  6. Step 6: Final answer
    x = 1,560.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.