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Finding the Fourth Proportional to 3,834.63, 5,752.88 and 1,335.47

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Solution

The fourth proportional to 3,834.63, 5,752.88 and 1,335.47 is: 2,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.63 : 5,752.88 = 1,335.47 : x
  2. Step 2: Convert to fraction form
    3,834.63/5,752.88 = 1,335.47/x
  3. Step 3: Cross multiply
    3,834.63x = 5,752.88 × 1,335.47
  4. Step 4: Simplify right side
    3,834.63x = 7,682,763.21
  5. Step 5: Solve for x
    x = 7,682,763.21/3,834.63
  6. Step 6: Final answer
    x = 2,003.52

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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.