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Finding the Fourth Proportional to 3,492.95, 4,819.06 and 2,234.74

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Solution

The fourth proportional to 3,492.95, 4,819.06 and 2,234.74 is: 3,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.95 : 4,819.06 = 2,234.74 : x
  2. Step 2: Convert to fraction form
    3,492.95/4,819.06 = 2,234.74/x
  3. Step 3: Cross multiply
    3,492.95x = 4,819.06 × 2,234.74
  4. Step 4: Simplify right side
    3,492.95x = 10,769,346.14
  5. Step 5: Solve for x
    x = 10,769,346.14/3,492.95
  6. Step 6: Final answer
    x = 3,083.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.