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Finding the Fourth Proportional to 5,661.68, 8,492.51 and 1,963.91

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Solution

The fourth proportional to 5,661.68, 8,492.51 and 1,963.91 is: 2,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.68 : 8,492.51 = 1,963.91 : x
  2. Step 2: Convert to fraction form
    5,661.68/8,492.51 = 1,963.91/x
  3. Step 3: Cross multiply
    5,661.68x = 8,492.51 × 1,963.91
  4. Step 4: Simplify right side
    5,661.68x = 16,678,473.03
  5. Step 5: Solve for x
    x = 16,678,473.03/5,661.68
  6. Step 6: Final answer
    x = 2,945.85

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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.