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Finding the Fourth Proportional to 4,069.70, 5,615.97 and 2,301.20

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Solution

The fourth proportional to 4,069.70, 5,615.97 and 2,301.20 is: 3,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.70 : 5,615.97 = 2,301.20 : x
  2. Step 2: Convert to fraction form
    4,069.70/5,615.97 = 2,301.20/x
  3. Step 3: Cross multiply
    4,069.70x = 5,615.97 × 2,301.20
  4. Step 4: Simplify right side
    4,069.70x = 12,923,470.16
  5. Step 5: Solve for x
    x = 12,923,470.16/4,069.70
  6. Step 6: Final answer
    x = 3,175.53

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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.