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Finding the Fourth Proportional to 5,763.95, 7,949 and 3,773.78

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Solution

The fourth proportional to 5,763.95, 7,949 and 3,773.78 is: 5,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.95 : 7,949 = 3,773.78 : x
  2. Step 2: Convert to fraction form
    5,763.95/7,949 = 3,773.78/x
  3. Step 3: Cross multiply
    5,763.95x = 7,949 × 3,773.78
  4. Step 4: Simplify right side
    5,763.95x = 29,997,777.22
  5. Step 5: Solve for x
    x = 29,997,777.22/5,763.95
  6. Step 6: Final answer
    x = 5,204.38

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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.