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Finding the Fourth Proportional to 4,160.88, 5,742.01 and 2,297.88

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Solution

The fourth proportional to 4,160.88, 5,742.01 and 2,297.88 is: 3,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.88 : 5,742.01 = 2,297.88 : x
  2. Step 2: Convert to fraction form
    4,160.88/5,742.01 = 2,297.88/x
  3. Step 3: Cross multiply
    4,160.88x = 5,742.01 × 2,297.88
  4. Step 4: Simplify right side
    4,160.88x = 13,194,449.94
  5. Step 5: Solve for x
    x = 13,194,449.94/4,160.88
  6. Step 6: Final answer
    x = 3,171.07

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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.