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Finding the Fourth Proportional to 5,412.80, 8,119.20 and 1,308.80

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Solution

The fourth proportional to 5,412.80, 8,119.20 and 1,308.80 is: 1,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.80 : 8,119.20 = 1,308.80 : x
  2. Step 2: Convert to fraction form
    5,412.80/8,119.20 = 1,308.80/x
  3. Step 3: Cross multiply
    5,412.80x = 8,119.20 × 1,308.80
  4. Step 4: Simplify right side
    5,412.80x = 10,626,368.36
  5. Step 5: Solve for x
    x = 10,626,368.36/5,412.80
  6. Step 6: Final answer
    x = 1,963.19

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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.