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Finding the Fourth Proportional to 3,657.72, 5,047.68 and 2,001.72

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Solution

The fourth proportional to 3,657.72, 5,047.68 and 2,001.72 is: 2,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.72 : 5,047.68 = 2,001.72 : x
  2. Step 2: Convert to fraction form
    3,657.72/5,047.68 = 2,001.72/x
  3. Step 3: Cross multiply
    3,657.72x = 5,047.68 × 2,001.72
  4. Step 4: Simplify right side
    3,657.72x = 10,104,042.01
  5. Step 5: Solve for x
    x = 10,104,042.01/3,657.72
  6. Step 6: Final answer
    x = 2,762.39

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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.