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Finding the Fourth Proportional to 5,753.02, 7,934.53 and 3,864.03

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Solution

The fourth proportional to 5,753.02, 7,934.53 and 3,864.03 is: 5,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.02 : 7,934.53 = 3,864.03 : x
  2. Step 2: Convert to fraction form
    5,753.02/7,934.53 = 3,864.03/x
  3. Step 3: Cross multiply
    5,753.02x = 7,934.53 × 3,864.03
  4. Step 4: Simplify right side
    5,753.02x = 30,659,261.96
  5. Step 5: Solve for x
    x = 30,659,261.96/5,753.02
  6. Step 6: Final answer
    x = 5,329.25

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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.