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Finding the Fourth Proportional to 5,696.46, 8,523.05 and 3,475.90

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Solution

The fourth proportional to 5,696.46, 8,523.05 and 3,475.90 is: 5,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.46 : 8,523.05 = 3,475.90 : x
  2. Step 2: Convert to fraction form
    5,696.46/8,523.05 = 3,475.90/x
  3. Step 3: Cross multiply
    5,696.46x = 8,523.05 × 3,475.90
  4. Step 4: Simplify right side
    5,696.46x = 29,625,269.50
  5. Step 5: Solve for x
    x = 29,625,269.50/5,696.46
  6. Step 6: Final answer
    x = 5,200.65

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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.