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Finding the Fourth Proportional to 3,513, 5,267.82 and 1,046.95

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Solution

The fourth proportional to 3,513, 5,267.82 and 1,046.95 is: 1,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513 : 5,267.82 = 1,046.95 : x
  2. Step 2: Convert to fraction form
    3,513/5,267.82 = 1,046.95/x
  3. Step 3: Cross multiply
    3,513x = 5,267.82 × 1,046.95
  4. Step 4: Simplify right side
    3,513x = 5,515,144.15
  5. Step 5: Solve for x
    x = 5,515,144.15/3,513
  6. Step 6: Final answer
    x = 1,569.92

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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.