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Finding the Fourth Proportional to 5,591.04, 8,385.92 and 1,696

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Solution

The fourth proportional to 5,591.04, 8,385.92 and 1,696 is: 2,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.04 : 8,385.92 = 1,696 : x
  2. Step 2: Convert to fraction form
    5,591.04/8,385.92 = 1,696/x
  3. Step 3: Cross multiply
    5,591.04x = 8,385.92 × 1,696
  4. Step 4: Simplify right side
    5,591.04x = 14,222,520.32
  5. Step 5: Solve for x
    x = 14,222,520.32/5,591.04
  6. Step 6: Final answer
    x = 2,543.81

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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.