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Finding the Fourth Proportional to 3,212.91, 4,819.36 and 904.41

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Solution

The fourth proportional to 3,212.91, 4,819.36 and 904.41 is: 1,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.91 : 4,819.36 = 904.41 : x
  2. Step 2: Convert to fraction form
    3,212.91/4,819.36 = 904.41/x
  3. Step 3: Cross multiply
    3,212.91x = 4,819.36 × 904.41
  4. Step 4: Simplify right side
    3,212.91x = 4,358,675.12
  5. Step 5: Solve for x
    x = 4,358,675.12/3,212.91
  6. Step 6: Final answer
    x = 1,356.61

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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.