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Finding the Fourth Proportional to 3,965.70, 5,934.51 and 2,923.23

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Solution

The fourth proportional to 3,965.70, 5,934.51 and 2,923.23 is: 4,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.70 : 5,934.51 = 2,923.23 : x
  2. Step 2: Convert to fraction form
    3,965.70/5,934.51 = 2,923.23/x
  3. Step 3: Cross multiply
    3,965.70x = 5,934.51 × 2,923.23
  4. Step 4: Simplify right side
    3,965.70x = 17,347,937.67
  5. Step 5: Solve for x
    x = 17,347,937.67/3,965.70
  6. Step 6: Final answer
    x = 4,374.50

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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.