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Finding the Fourth Proportional to 5,661.38, 8,492.54 and 1,765.79

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Solution

The fourth proportional to 5,661.38, 8,492.54 and 1,765.79 is: 2,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.38 : 8,492.54 = 1,765.79 : x
  2. Step 2: Convert to fraction form
    5,661.38/8,492.54 = 1,765.79/x
  3. Step 3: Cross multiply
    5,661.38x = 8,492.54 × 1,765.79
  4. Step 4: Simplify right side
    5,661.38x = 14,995,990.91
  5. Step 5: Solve for x
    x = 14,995,990.91/5,661.38
  6. Step 6: Final answer
    x = 2,648.82

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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.