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Finding the Fourth Proportional to 4,114.98, 5,680.01 and 2,839.53

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Solution

The fourth proportional to 4,114.98, 5,680.01 and 2,839.53 is: 3,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.98 : 5,680.01 = 2,839.53 : x
  2. Step 2: Convert to fraction form
    4,114.98/5,680.01 = 2,839.53/x
  3. Step 3: Cross multiply
    4,114.98x = 5,680.01 × 2,839.53
  4. Step 4: Simplify right side
    4,114.98x = 16,128,587.19
  5. Step 5: Solve for x
    x = 16,128,587.19/4,114.98
  6. Step 6: Final answer
    x = 3,919.48

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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.