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Finding the Fourth Proportional to 5,651.24, 7,803.78 and 3,665

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Solution

The fourth proportional to 5,651.24, 7,803.78 and 3,665 is: 5,060.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.24 : 7,803.78 = 3,665 : x
  2. Step 2: Convert to fraction form
    5,651.24/7,803.78 = 3,665/x
  3. Step 3: Cross multiply
    5,651.24x = 7,803.78 × 3,665
  4. Step 4: Simplify right side
    5,651.24x = 28,600,853.70
  5. Step 5: Solve for x
    x = 28,600,853.70/5,651.24
  6. Step 6: Final answer
    x = 5,060.99

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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.