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Finding the Fourth Proportional to 5,550.38, 7,655.78 and 4,369.40

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Solution

The fourth proportional to 5,550.38, 7,655.78 and 4,369.40 is: 6,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,550.38 : 7,655.78 = 4,369.40 : x
  2. Step 2: Convert to fraction form
    5,550.38/7,655.78 = 4,369.40/x
  3. Step 3: Cross multiply
    5,550.38x = 7,655.78 × 4,369.40
  4. Step 4: Simplify right side
    5,550.38x = 33,451,165.13
  5. Step 5: Solve for x
    x = 33,451,165.13/5,550.38
  6. Step 6: Final answer
    x = 6,026.82

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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.