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Finding the Fourth Proportional to 3,797.74, 5,699.24 and 1,332.57

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Solution

The fourth proportional to 3,797.74, 5,699.24 and 1,332.57 is: 1,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.74 : 5,699.24 = 1,332.57 : x
  2. Step 2: Convert to fraction form
    3,797.74/5,699.24 = 1,332.57/x
  3. Step 3: Cross multiply
    3,797.74x = 5,699.24 × 1,332.57
  4. Step 4: Simplify right side
    3,797.74x = 7,594,636.25
  5. Step 5: Solve for x
    x = 7,594,636.25/3,797.74
  6. Step 6: Final answer
    x = 1,999.78

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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.