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Finding the Fourth Proportional to 3,679.64, 5,074.42 and 2,839.01

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Solution

The fourth proportional to 3,679.64, 5,074.42 and 2,839.01 is: 3,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.64 : 5,074.42 = 2,839.01 : x
  2. Step 2: Convert to fraction form
    3,679.64/5,074.42 = 2,839.01/x
  3. Step 3: Cross multiply
    3,679.64x = 5,074.42 × 2,839.01
  4. Step 4: Simplify right side
    3,679.64x = 14,406,334.71
  5. Step 5: Solve for x
    x = 14,406,334.71/3,679.64
  6. Step 6: Final answer
    x = 3,915.15

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Why These Related Problems?

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