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Finding the Fourth Proportional to 5,651.66, 7,798.82 and 3,133.55

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Solution

The fourth proportional to 5,651.66, 7,798.82 and 3,133.55 is: 4,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.66 : 7,798.82 = 3,133.55 : x
  2. Step 2: Convert to fraction form
    5,651.66/7,798.82 = 3,133.55/x
  3. Step 3: Cross multiply
    5,651.66x = 7,798.82 × 3,133.55
  4. Step 4: Simplify right side
    5,651.66x = 24,437,937.75
  5. Step 5: Solve for x
    x = 24,437,937.75/5,651.66
  6. Step 6: Final answer
    x = 4,324.03

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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.