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Finding the Fourth Proportional to 6,157.68, 9,241.38 and 2,869.08

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Solution

The fourth proportional to 6,157.68, 9,241.38 and 2,869.08 is: 4,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.68 : 9,241.38 = 2,869.08 : x
  2. Step 2: Convert to fraction form
    6,157.68/9,241.38 = 2,869.08/x
  3. Step 3: Cross multiply
    6,157.68x = 9,241.38 × 2,869.08
  4. Step 4: Simplify right side
    6,157.68x = 26,514,258.53
  5. Step 5: Solve for x
    x = 26,514,258.53/6,157.68
  6. Step 6: Final answer
    x = 4,305.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.