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Finding the Fourth Proportional to 3,866.60, 5,337.06 and 3,080.36

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Solution

The fourth proportional to 3,866.60, 5,337.06 and 3,080.36 is: 4,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.60 : 5,337.06 = 3,080.36 : x
  2. Step 2: Convert to fraction form
    3,866.60/5,337.06 = 3,080.36/x
  3. Step 3: Cross multiply
    3,866.60x = 5,337.06 × 3,080.36
  4. Step 4: Simplify right side
    3,866.60x = 16,440,066.14
  5. Step 5: Solve for x
    x = 16,440,066.14/3,866.60
  6. Step 6: Final answer
    x = 4,251.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.