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Finding the Fourth Proportional to 3,773.50, 5,660.25 and 1,037.50

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Solution

The fourth proportional to 3,773.50, 5,660.25 and 1,037.50 is: 1,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.50 : 5,660.25 = 1,037.50 : x
  2. Step 2: Convert to fraction form
    3,773.50/5,660.25 = 1,037.50/x
  3. Step 3: Cross multiply
    3,773.50x = 5,660.25 × 1,037.50
  4. Step 4: Simplify right side
    3,773.50x = 5,872,509.38
  5. Step 5: Solve for x
    x = 5,872,509.38/3,773.50
  6. Step 6: Final answer
    x = 1,556.25

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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.