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Finding the Fourth Proportional to 3,965.58, 5,476.88 and 3,080.05

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Solution

The fourth proportional to 3,965.58, 5,476.88 and 3,080.05 is: 4,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.58 : 5,476.88 = 3,080.05 : x
  2. Step 2: Convert to fraction form
    3,965.58/5,476.88 = 3,080.05/x
  3. Step 3: Cross multiply
    3,965.58x = 5,476.88 × 3,080.05
  4. Step 4: Simplify right side
    3,965.58x = 16,869,058.25
  5. Step 5: Solve for x
    x = 16,869,058.25/3,965.58
  6. Step 6: Final answer
    x = 4,253.87

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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.