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Finding the Fourth Proportional to 5,617.73, 7,742.13 and 4,502.36

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Solution

The fourth proportional to 5,617.73, 7,742.13 and 4,502.36 is: 6,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.73 : 7,742.13 = 4,502.36 : x
  2. Step 2: Convert to fraction form
    5,617.73/7,742.13 = 4,502.36/x
  3. Step 3: Cross multiply
    5,617.73x = 7,742.13 × 4,502.36
  4. Step 4: Simplify right side
    5,617.73x = 34,857,856.43
  5. Step 5: Solve for x
    x = 34,857,856.43/5,617.73
  6. Step 6: Final answer
    x = 6,204.97

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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.