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Finding the Fourth Proportional to 3,649.50, 5,031.23 and 3,084.68

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Solution

The fourth proportional to 3,649.50, 5,031.23 and 3,084.68 is: 4,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.50 : 5,031.23 = 3,084.68 : x
  2. Step 2: Convert to fraction form
    3,649.50/5,031.23 = 3,084.68/x
  3. Step 3: Cross multiply
    3,649.50x = 5,031.23 × 3,084.68
  4. Step 4: Simplify right side
    3,649.50x = 15,519,717.11
  5. Step 5: Solve for x
    x = 15,519,717.11/3,649.50
  6. Step 6: Final answer
    x = 4,252.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.