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Finding the Fourth Proportional to 4,691.70, 7,037.56 and 1,228.96

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Solution

The fourth proportional to 4,691.70, 7,037.56 and 1,228.96 is: 1,843.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.70 : 7,037.56 = 1,228.96 : x
  2. Step 2: Convert to fraction form
    4,691.70/7,037.56 = 1,228.96/x
  3. Step 3: Cross multiply
    4,691.70x = 7,037.56 × 1,228.96
  4. Step 4: Simplify right side
    4,691.70x = 8,648,879.74
  5. Step 5: Solve for x
    x = 8,648,879.74/4,691.70
  6. Step 6: Final answer
    x = 1,843.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.