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Finding the Fourth Proportional to 4,057.64, 5,597.42 and 2,876.66

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Solution

The fourth proportional to 4,057.64, 5,597.42 and 2,876.66 is: 3,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.64 : 5,597.42 = 2,876.66 : x
  2. Step 2: Convert to fraction form
    4,057.64/5,597.42 = 2,876.66/x
  3. Step 3: Cross multiply
    4,057.64x = 5,597.42 × 2,876.66
  4. Step 4: Simplify right side
    4,057.64x = 16,101,874.22
  5. Step 5: Solve for x
    x = 16,101,874.22/4,057.64
  6. Step 6: Final answer
    x = 3,968.29

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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.