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Finding the Fourth Proportional to 3,744.99, 5,617.47 and 2,923.95

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Solution

The fourth proportional to 3,744.99, 5,617.47 and 2,923.95 is: 4,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.99 : 5,617.47 = 2,923.95 : x
  2. Step 2: Convert to fraction form
    3,744.99/5,617.47 = 2,923.95/x
  3. Step 3: Cross multiply
    3,744.99x = 5,617.47 × 2,923.95
  4. Step 4: Simplify right side
    3,744.99x = 16,425,201.41
  5. Step 5: Solve for x
    x = 16,425,201.41/3,744.99
  6. Step 6: Final answer
    x = 4,385.91

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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.