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Finding the Fourth Proportional to 3,215.90, 4,819.70 and 3,181.07

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Solution

The fourth proportional to 3,215.90, 4,819.70 and 3,181.07 is: 4,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.90 : 4,819.70 = 3,181.07 : x
  2. Step 2: Convert to fraction form
    3,215.90/4,819.70 = 3,181.07/x
  3. Step 3: Cross multiply
    3,215.90x = 4,819.70 × 3,181.07
  4. Step 4: Simplify right side
    3,215.90x = 15,331,823.08
  5. Step 5: Solve for x
    x = 15,331,823.08/3,215.90
  6. Step 6: Final answer
    x = 4,767.50

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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.