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Finding the Fourth Proportional to 4,612.49, 6,919.52 and 1,492.13

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Solution

The fourth proportional to 4,612.49, 6,919.52 and 1,492.13 is: 2,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.49 : 6,919.52 = 1,492.13 : x
  2. Step 2: Convert to fraction form
    4,612.49/6,919.52 = 1,492.13/x
  3. Step 3: Cross multiply
    4,612.49x = 6,919.52 × 1,492.13
  4. Step 4: Simplify right side
    4,612.49x = 10,324,781.32
  5. Step 5: Solve for x
    x = 10,324,781.32/4,612.49
  6. Step 6: Final answer
    x = 2,238.44

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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.