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Finding the Fourth Proportional to 5,630, 8,446.12 and 1,734.24

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Solution

The fourth proportional to 5,630, 8,446.12 and 1,734.24 is: 2,601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630 : 8,446.12 = 1,734.24 : x
  2. Step 2: Convert to fraction form
    5,630/8,446.12 = 1,734.24/x
  3. Step 3: Cross multiply
    5,630x = 8,446.12 × 1,734.24
  4. Step 4: Simplify right side
    5,630x = 14,647,599.15
  5. Step 5: Solve for x
    x = 14,647,599.15/5,630
  6. Step 6: Final answer
    x = 2,601.70

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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.