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Finding the Fourth Proportional to 3,853.60, 5,780.40 and 3,407.20

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Solution

The fourth proportional to 3,853.60, 5,780.40 and 3,407.20 is: 5,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.60 : 5,780.40 = 3,407.20 : x
  2. Step 2: Convert to fraction form
    3,853.60/5,780.40 = 3,407.20/x
  3. Step 3: Cross multiply
    3,853.60x = 5,780.40 × 3,407.20
  4. Step 4: Simplify right side
    3,853.60x = 19,694,978.88
  5. Step 5: Solve for x
    x = 19,694,978.88/3,853.60
  6. Step 6: Final answer
    x = 5,110.80

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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.