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Finding the Fourth Proportional to 5,648.00, 7,794.68 and 3,633.21

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Solution

The fourth proportional to 5,648.00, 7,794.68 and 3,633.21 is: 5,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.00 : 7,794.68 = 3,633.21 : x
  2. Step 2: Convert to fraction form
    5,648.00/7,794.68 = 3,633.21/x
  3. Step 3: Cross multiply
    5,648.00x = 7,794.68 × 3,633.21
  4. Step 4: Simplify right side
    5,648.00x = 28,319,691.16
  5. Step 5: Solve for x
    x = 28,319,691.16/5,648.00
  6. Step 6: Final answer
    x = 5,014.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.