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Finding the Fourth Proportional to 3,228.76, 4,842.68 and 1,037.21

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Solution

The fourth proportional to 3,228.76, 4,842.68 and 1,037.21 is: 1,555.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.76 : 4,842.68 = 1,037.21 : x
  2. Step 2: Convert to fraction form
    3,228.76/4,842.68 = 1,037.21/x
  3. Step 3: Cross multiply
    3,228.76x = 4,842.68 × 1,037.21
  4. Step 4: Simplify right side
    3,228.76x = 5,022,854.50
  5. Step 5: Solve for x
    x = 5,022,854.50/3,228.76
  6. Step 6: Final answer
    x = 1,555.66

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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.