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Finding the Fourth Proportional to 3,037.52, 4,556.31 and 846.41

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Solution

The fourth proportional to 3,037.52, 4,556.31 and 846.41 is: 1,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.52 : 4,556.31 = 846.41 : x
  2. Step 2: Convert to fraction form
    3,037.52/4,556.31 = 846.41/x
  3. Step 3: Cross multiply
    3,037.52x = 4,556.31 × 846.41
  4. Step 4: Simplify right side
    3,037.52x = 3,856,506.35
  5. Step 5: Solve for x
    x = 3,856,506.35/3,037.52
  6. Step 6: Final answer
    x = 1,269.62

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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.