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Finding the Fourth Proportional to 5,494.80, 8,242.70 and 1,546.10

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Solution

The fourth proportional to 5,494.80, 8,242.70 and 1,546.10 is: 2,319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.80 : 8,242.70 = 1,546.10 : x
  2. Step 2: Convert to fraction form
    5,494.80/8,242.70 = 1,546.10/x
  3. Step 3: Cross multiply
    5,494.80x = 8,242.70 × 1,546.10
  4. Step 4: Simplify right side
    5,494.80x = 12,743,989.53
  5. Step 5: Solve for x
    x = 12,743,989.53/5,494.80
  6. Step 6: Final answer
    x = 2,319.28

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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.