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Finding the Fourth Proportional to 3,834, 5,752.95 and 1,642.14

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Solution

The fourth proportional to 3,834, 5,752.95 and 1,642.14 is: 2,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834 : 5,752.95 = 1,642.14 : x
  2. Step 2: Convert to fraction form
    3,834/5,752.95 = 1,642.14/x
  3. Step 3: Cross multiply
    3,834x = 5,752.95 × 1,642.14
  4. Step 4: Simplify right side
    3,834x = 9,447,149.31
  5. Step 5: Solve for x
    x = 9,447,149.31/3,834
  6. Step 6: Final answer
    x = 2,464.05

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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.