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Finding the Fourth Proportional to 3,494.80, 5,234.46 and 2,030.32

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Solution

The fourth proportional to 3,494.80, 5,234.46 and 2,030.32 is: 3,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.80 : 5,234.46 = 2,030.32 : x
  2. Step 2: Convert to fraction form
    3,494.80/5,234.46 = 2,030.32/x
  3. Step 3: Cross multiply
    3,494.80x = 5,234.46 × 2,030.32
  4. Step 4: Simplify right side
    3,494.80x = 10,627,628.83
  5. Step 5: Solve for x
    x = 10,627,628.83/3,494.80
  6. Step 6: Final answer
    x = 3,040.98

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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.