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Finding the Fourth Proportional to 3,623.90, 5,002.17 and 3,306.74

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Solution

The fourth proportional to 3,623.90, 5,002.17 and 3,306.74 is: 4,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.90 : 5,002.17 = 3,306.74 : x
  2. Step 2: Convert to fraction form
    3,623.90/5,002.17 = 3,306.74/x
  3. Step 3: Cross multiply
    3,623.90x = 5,002.17 × 3,306.74
  4. Step 4: Simplify right side
    3,623.90x = 16,540,875.63
  5. Step 5: Solve for x
    x = 16,540,875.63/3,623.90
  6. Step 6: Final answer
    x = 4,564.39

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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.