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Finding the Fourth Proportional to 4,086.80, 6,130.20 and 3,438.80

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Solution

The fourth proportional to 4,086.80, 6,130.20 and 3,438.80 is: 5,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.80 : 6,130.20 = 3,438.80 : x
  2. Step 2: Convert to fraction form
    4,086.80/6,130.20 = 3,438.80/x
  3. Step 3: Cross multiply
    4,086.80x = 6,130.20 × 3,438.80
  4. Step 4: Simplify right side
    4,086.80x = 21,080,531.76
  5. Step 5: Solve for x
    x = 21,080,531.76/4,086.80
  6. Step 6: Final answer
    x = 5,158.20

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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.