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Finding the Fourth Proportional to 5,488.75, 7,561.11 and 4,161.16

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Solution

The fourth proportional to 5,488.75, 7,561.11 and 4,161.16 is: 5,732.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.75 : 7,561.11 = 4,161.16 : x
  2. Step 2: Convert to fraction form
    5,488.75/7,561.11 = 4,161.16/x
  3. Step 3: Cross multiply
    5,488.75x = 7,561.11 × 4,161.16
  4. Step 4: Simplify right side
    5,488.75x = 31,462,988.49
  5. Step 5: Solve for x
    x = 31,462,988.49/5,488.75
  6. Step 6: Final answer
    x = 5,732.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.