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Finding the Fourth Proportional to 3,883.74, 5,823.49 and 1,384.54

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Solution

The fourth proportional to 3,883.74, 5,823.49 and 1,384.54 is: 2,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.74 : 5,823.49 = 1,384.54 : x
  2. Step 2: Convert to fraction form
    3,883.74/5,823.49 = 1,384.54/x
  3. Step 3: Cross multiply
    3,883.74x = 5,823.49 × 1,384.54
  4. Step 4: Simplify right side
    3,883.74x = 8,062,834.58
  5. Step 5: Solve for x
    x = 8,062,834.58/3,883.74
  6. Step 6: Final answer
    x = 2,076.05

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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.