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Finding the Fourth Proportional to 5,305.52, 7,943.70 and 4,003.04

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Solution

The fourth proportional to 5,305.52, 7,943.70 and 4,003.04 is: 5,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.52 : 7,943.70 = 4,003.04 : x
  2. Step 2: Convert to fraction form
    5,305.52/7,943.70 = 4,003.04/x
  3. Step 3: Cross multiply
    5,305.52x = 7,943.70 × 4,003.04
  4. Step 4: Simplify right side
    5,305.52x = 31,798,948.85
  5. Step 5: Solve for x
    x = 31,798,948.85/5,305.52
  6. Step 6: Final answer
    x = 5,993.56

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1.5x scale

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.