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Finding the Fourth Proportional to 4,827.22, 7,243.05 and 3,348.70

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Solution

The fourth proportional to 4,827.22, 7,243.05 and 3,348.70 is: 5,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.22 : 7,243.05 = 3,348.70 : x
  2. Step 2: Convert to fraction form
    4,827.22/7,243.05 = 3,348.70/x
  3. Step 3: Cross multiply
    4,827.22x = 7,243.05 × 3,348.70
  4. Step 4: Simplify right side
    4,827.22x = 24,254,801.54
  5. Step 5: Solve for x
    x = 24,254,801.54/4,827.22
  6. Step 6: Final answer
    x = 5,024.59

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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.