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Finding the Fourth Proportional to 5,209.24, 7,801.54 and 4,521.52

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Solution

The fourth proportional to 5,209.24, 7,801.54 and 4,521.52 is: 6,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.24 : 7,801.54 = 4,521.52 : x
  2. Step 2: Convert to fraction form
    5,209.24/7,801.54 = 4,521.52/x
  3. Step 3: Cross multiply
    5,209.24x = 7,801.54 × 4,521.52
  4. Step 4: Simplify right side
    5,209.24x = 35,274,819.14
  5. Step 5: Solve for x
    x = 35,274,819.14/5,209.24
  6. Step 6: Final answer
    x = 6,771.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.