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Finding the Fourth Proportional to 5,488.38, 7,564.05 and 3,993.93

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Solution

The fourth proportional to 5,488.38, 7,564.05 and 3,993.93 is: 5,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.38 : 7,564.05 = 3,993.93 : x
  2. Step 2: Convert to fraction form
    5,488.38/7,564.05 = 3,993.93/x
  3. Step 3: Cross multiply
    5,488.38x = 7,564.05 × 3,993.93
  4. Step 4: Simplify right side
    5,488.38x = 30,210,286.22
  5. Step 5: Solve for x
    x = 30,210,286.22/5,488.38
  6. Step 6: Final answer
    x = 5,504.41

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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.