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Finding the Fourth Proportional to 3,949.41, 5,923.94 and 1,484.04

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Solution

The fourth proportional to 3,949.41, 5,923.94 and 1,484.04 is: 2,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.41 : 5,923.94 = 1,484.04 : x
  2. Step 2: Convert to fraction form
    3,949.41/5,923.94 = 1,484.04/x
  3. Step 3: Cross multiply
    3,949.41x = 5,923.94 × 1,484.04
  4. Step 4: Simplify right side
    3,949.41x = 8,791,356.50
  5. Step 5: Solve for x
    x = 8,791,356.50/3,949.41
  6. Step 6: Final answer
    x = 2,225.99

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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.