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Finding the Fourth Proportional to 3,057.52, 4,586.28 and 749

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Solution

The fourth proportional to 3,057.52, 4,586.28 and 749 is: 1,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.52 : 4,586.28 = 749 : x
  2. Step 2: Convert to fraction form
    3,057.52/4,586.28 = 749/x
  3. Step 3: Cross multiply
    3,057.52x = 4,586.28 × 749
  4. Step 4: Simplify right side
    3,057.52x = 3,435,123.72
  5. Step 5: Solve for x
    x = 3,435,123.72/3,057.52
  6. Step 6: Final answer
    x = 1,123.50

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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.