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Finding the Fourth Proportional to 4,492.82, 6,734.10 and 2,024.12

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Solution

The fourth proportional to 4,492.82, 6,734.10 and 2,024.12 is: 3,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.82 : 6,734.10 = 2,024.12 : x
  2. Step 2: Convert to fraction form
    4,492.82/6,734.10 = 2,024.12/x
  3. Step 3: Cross multiply
    4,492.82x = 6,734.10 × 2,024.12
  4. Step 4: Simplify right side
    4,492.82x = 13,630,626.49
  5. Step 5: Solve for x
    x = 13,630,626.49/4,492.82
  6. Step 6: Final answer
    x = 3,033.87

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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.