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Finding the Fourth Proportional to 6,302.80, 9,452.40 and 1,919.20

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Solution

The fourth proportional to 6,302.80, 9,452.40 and 1,919.20 is: 2,878.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.80 : 9,452.40 = 1,919.20 : x
  2. Step 2: Convert to fraction form
    6,302.80/9,452.40 = 1,919.20/x
  3. Step 3: Cross multiply
    6,302.80x = 9,452.40 × 1,919.20
  4. Step 4: Simplify right side
    6,302.80x = 18,141,046.08
  5. Step 5: Solve for x
    x = 18,141,046.08/6,302.80
  6. Step 6: Final answer
    x = 2,878.25

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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.