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Finding the Fourth Proportional to 3,543.72, 5,279.97 and 3,345

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Solution

The fourth proportional to 3,543.72, 5,279.97 and 3,345 is: 4,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.72 : 5,279.97 = 3,345 : x
  2. Step 2: Convert to fraction form
    3,543.72/5,279.97 = 3,345/x
  3. Step 3: Cross multiply
    3,543.72x = 5,279.97 × 3,345
  4. Step 4: Simplify right side
    3,543.72x = 17,661,499.65
  5. Step 5: Solve for x
    x = 17,661,499.65/3,543.72
  6. Step 6: Final answer
    x = 4,983.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.