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Finding the Fourth Proportional to 3,819.58, 5,728.91 and 1,046.50

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Solution

The fourth proportional to 3,819.58, 5,728.91 and 1,046.50 is: 1,569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.58 : 5,728.91 = 1,046.50 : x
  2. Step 2: Convert to fraction form
    3,819.58/5,728.91 = 1,046.50/x
  3. Step 3: Cross multiply
    3,819.58x = 5,728.91 × 1,046.50
  4. Step 4: Simplify right side
    3,819.58x = 5,995,284.76
  5. Step 5: Solve for x
    x = 5,995,284.76/3,819.58
  6. Step 6: Final answer
    x = 1,569.62

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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.