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Finding the Fourth Proportional to 3,494.46, 5,242.60 and 1,029.20

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Solution

The fourth proportional to 3,494.46, 5,242.60 and 1,029.20 is: 1,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.46 : 5,242.60 = 1,029.20 : x
  2. Step 2: Convert to fraction form
    3,494.46/5,242.60 = 1,029.20/x
  3. Step 3: Cross multiply
    3,494.46x = 5,242.60 × 1,029.20
  4. Step 4: Simplify right side
    3,494.46x = 5,395,652.56
  5. Step 5: Solve for x
    x = 5,395,652.56/3,494.46
  6. Step 6: Final answer
    x = 1,544.06

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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.