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Finding the Fourth Proportional to 5,338.38, 7,351.59 and 5,322.18

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Solution

The fourth proportional to 5,338.38, 7,351.59 and 5,322.18 is: 7,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.38 : 7,351.59 = 5,322.18 : x
  2. Step 2: Convert to fraction form
    5,338.38/7,351.59 = 5,322.18/x
  3. Step 3: Cross multiply
    5,338.38x = 7,351.59 × 5,322.18
  4. Step 4: Simplify right side
    5,338.38x = 39,126,485.27
  5. Step 5: Solve for x
    x = 39,126,485.27/5,338.38
  6. Step 6: Final answer
    x = 7,329.28

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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.