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Finding the Fourth Proportional to 5,164.66, 7,749.82 and 2,242.98

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Solution

The fourth proportional to 5,164.66, 7,749.82 and 2,242.98 is: 3,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.66 : 7,749.82 = 2,242.98 : x
  2. Step 2: Convert to fraction form
    5,164.66/7,749.82 = 2,242.98/x
  3. Step 3: Cross multiply
    5,164.66x = 7,749.82 × 2,242.98
  4. Step 4: Simplify right side
    5,164.66x = 17,382,691.26
  5. Step 5: Solve for x
    x = 17,382,691.26/5,164.66
  6. Step 6: Final answer
    x = 3,365.70

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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.