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Finding the Fourth Proportional to 3,209.61, 4,822.20 and 3,032.60

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Solution

The fourth proportional to 3,209.61, 4,822.20 and 3,032.60 is: 4,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.61 : 4,822.20 = 3,032.60 : x
  2. Step 2: Convert to fraction form
    3,209.61/4,822.20 = 3,032.60/x
  3. Step 3: Cross multiply
    3,209.61x = 4,822.20 × 3,032.60
  4. Step 4: Simplify right side
    3,209.61x = 14,623,788.56
  5. Step 5: Solve for x
    x = 14,623,788.56/3,209.61
  6. Step 6: Final answer
    x = 4,556.25

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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.