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Finding the Fourth Proportional to 3,561.65, 4,915 and 2,164.85

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Solution

The fourth proportional to 3,561.65, 4,915 and 2,164.85 is: 2,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.65 : 4,915 = 2,164.85 : x
  2. Step 2: Convert to fraction form
    3,561.65/4,915 = 2,164.85/x
  3. Step 3: Cross multiply
    3,561.65x = 4,915 × 2,164.85
  4. Step 4: Simplify right side
    3,561.65x = 10,640,237.75
  5. Step 5: Solve for x
    x = 10,640,237.75/3,561.65
  6. Step 6: Final answer
    x = 2,987.45

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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.