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Finding the Fourth Proportional to 5,488.32, 7,579.11 and 5,189.45

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Solution

The fourth proportional to 5,488.32, 7,579.11 and 5,189.45 is: 7,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.32 : 7,579.11 = 5,189.45 : x
  2. Step 2: Convert to fraction form
    5,488.32/7,579.11 = 5,189.45/x
  3. Step 3: Cross multiply
    5,488.32x = 7,579.11 × 5,189.45
  4. Step 4: Simplify right side
    5,488.32x = 39,331,412.39
  5. Step 5: Solve for x
    x = 39,331,412.39/5,488.32
  6. Step 6: Final answer
    x = 7,166.38

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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.