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Finding the Fourth Proportional to 5,177.80, 7,759.02 and 3,803.08

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Solution

The fourth proportional to 5,177.80, 7,759.02 and 3,803.08 is: 5,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.80 : 7,759.02 = 3,803.08 : x
  2. Step 2: Convert to fraction form
    5,177.80/7,759.02 = 3,803.08/x
  3. Step 3: Cross multiply
    5,177.80x = 7,759.02 × 3,803.08
  4. Step 4: Simplify right side
    5,177.80x = 29,508,173.78
  5. Step 5: Solve for x
    x = 29,508,173.78/5,177.80
  6. Step 6: Final answer
    x = 5,698.98

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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.