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Finding the Fourth Proportional to 5,443.98, 7,509.83 and 4,115.38

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Solution

The fourth proportional to 5,443.98, 7,509.83 and 4,115.38 is: 5,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.98 : 7,509.83 = 4,115.38 : x
  2. Step 2: Convert to fraction form
    5,443.98/7,509.83 = 4,115.38/x
  3. Step 3: Cross multiply
    5,443.98x = 7,509.83 × 4,115.38
  4. Step 4: Simplify right side
    5,443.98x = 30,905,766.64
  5. Step 5: Solve for x
    x = 30,905,766.64/5,443.98
  6. Step 6: Final answer
    x = 5,677.06

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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.