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Finding the Fourth Proportional to 3,970.02, 5,951.65 and 1,747.18

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Solution

The fourth proportional to 3,970.02, 5,951.65 and 1,747.18 is: 2,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.02 : 5,951.65 = 1,747.18 : x
  2. Step 2: Convert to fraction form
    3,970.02/5,951.65 = 1,747.18/x
  3. Step 3: Cross multiply
    3,970.02x = 5,951.65 × 1,747.18
  4. Step 4: Simplify right side
    3,970.02x = 10,398,603.85
  5. Step 5: Solve for x
    x = 10,398,603.85/3,970.02
  6. Step 6: Final answer
    x = 2,619.28

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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.