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Finding the Fourth Proportional to 5,663.94, 8,492.17 and 2,702.85

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Solution

The fourth proportional to 5,663.94, 8,492.17 and 2,702.85 is: 4,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.94 : 8,492.17 = 2,702.85 : x
  2. Step 2: Convert to fraction form
    5,663.94/8,492.17 = 2,702.85/x
  3. Step 3: Cross multiply
    5,663.94x = 8,492.17 × 2,702.85
  4. Step 4: Simplify right side
    5,663.94x = 22,953,061.68
  5. Step 5: Solve for x
    x = 22,953,061.68/5,663.94
  6. Step 6: Final answer
    x = 4,052.49

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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.