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Finding the Fourth Proportional to 3,740.53, 5,610.16 and 1,107.98

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Solution

The fourth proportional to 3,740.53, 5,610.16 and 1,107.98 is: 1,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.53 : 5,610.16 = 1,107.98 : x
  2. Step 2: Convert to fraction form
    3,740.53/5,610.16 = 1,107.98/x
  3. Step 3: Cross multiply
    3,740.53x = 5,610.16 × 1,107.98
  4. Step 4: Simplify right side
    3,740.53x = 6,215,939.45
  5. Step 5: Solve for x
    x = 6,215,939.45/3,740.53
  6. Step 6: Final answer
    x = 1,661.78

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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.