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Finding the Fourth Proportional to 5,755.02, 7,942.02 and 3,237.66

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Solution

The fourth proportional to 5,755.02, 7,942.02 and 3,237.66 is: 4,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.02 : 7,942.02 = 3,237.66 : x
  2. Step 2: Convert to fraction form
    5,755.02/7,942.02 = 3,237.66/x
  3. Step 3: Cross multiply
    5,755.02x = 7,942.02 × 3,237.66
  4. Step 4: Simplify right side
    5,755.02x = 25,713,560.47
  5. Step 5: Solve for x
    x = 25,713,560.47/5,755.02
  6. Step 6: Final answer
    x = 4,468.02

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1.5x scale

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.