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Finding the Fourth Proportional to 3,616.52, 5,422.96 and 1,764.86

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Solution

The fourth proportional to 3,616.52, 5,422.96 and 1,764.86 is: 2,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.52 : 5,422.96 = 1,764.86 : x
  2. Step 2: Convert to fraction form
    3,616.52/5,422.96 = 1,764.86/x
  3. Step 3: Cross multiply
    3,616.52x = 5,422.96 × 1,764.86
  4. Step 4: Simplify right side
    3,616.52x = 9,570,774.33
  5. Step 5: Solve for x
    x = 9,570,774.33/3,616.52
  6. Step 6: Final answer
    x = 2,646.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.