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Finding the Fourth Proportional to 5,484.41, 8,218.38 and 3,824.11

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Solution

The fourth proportional to 5,484.41, 8,218.38 and 3,824.11 is: 5,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.41 : 8,218.38 = 3,824.11 : x
  2. Step 2: Convert to fraction form
    5,484.41/8,218.38 = 3,824.11/x
  3. Step 3: Cross multiply
    5,484.41x = 8,218.38 × 3,824.11
  4. Step 4: Simplify right side
    5,484.41x = 31,427,970.02
  5. Step 5: Solve for x
    x = 31,427,970.02/5,484.41
  6. Step 6: Final answer
    x = 5,730.42

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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.