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Finding the Fourth Proportional to 5,689.72, 8,532.34 and 2,767.16

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Solution

The fourth proportional to 5,689.72, 8,532.34 and 2,767.16 is: 4,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.72 : 8,532.34 = 2,767.16 : x
  2. Step 2: Convert to fraction form
    5,689.72/8,532.34 = 2,767.16/x
  3. Step 3: Cross multiply
    5,689.72x = 8,532.34 × 2,767.16
  4. Step 4: Simplify right side
    5,689.72x = 23,610,349.95
  5. Step 5: Solve for x
    x = 23,610,349.95/5,689.72
  6. Step 6: Final answer
    x = 4,149.65

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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.