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Finding the Fourth Proportional to 5,763.48, 7,952.56 and 3,743.07

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Solution

The fourth proportional to 5,763.48, 7,952.56 and 3,743.07 is: 5,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.48 : 7,952.56 = 3,743.07 : x
  2. Step 2: Convert to fraction form
    5,763.48/7,952.56 = 3,743.07/x
  3. Step 3: Cross multiply
    5,763.48x = 7,952.56 × 3,743.07
  4. Step 4: Simplify right side
    5,763.48x = 29,766,988.76
  5. Step 5: Solve for x
    x = 29,766,988.76/5,763.48
  6. Step 6: Final answer
    x = 5,164.76

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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.