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Finding the Fourth Proportional to 3,291.22, 4,929.54 and 3,224.80

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Solution

The fourth proportional to 3,291.22, 4,929.54 and 3,224.80 is: 4,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.22 : 4,929.54 = 3,224.80 : x
  2. Step 2: Convert to fraction form
    3,291.22/4,929.54 = 3,224.80/x
  3. Step 3: Cross multiply
    3,291.22x = 4,929.54 × 3,224.80
  4. Step 4: Simplify right side
    3,291.22x = 15,896,780.59
  5. Step 5: Solve for x
    x = 15,896,780.59/3,291.22
  6. Step 6: Final answer
    x = 4,830.06

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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.