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Finding the Fourth Proportional to 3,636.81, 5,454.92 and 1,444.95

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Solution

The fourth proportional to 3,636.81, 5,454.92 and 1,444.95 is: 2,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.81 : 5,454.92 = 1,444.95 : x
  2. Step 2: Convert to fraction form
    3,636.81/5,454.92 = 1,444.95/x
  3. Step 3: Cross multiply
    3,636.81x = 5,454.92 × 1,444.95
  4. Step 4: Simplify right side
    3,636.81x = 7,882,099.89
  5. Step 5: Solve for x
    x = 7,882,099.89/3,636.81
  6. Step 6: Final answer
    x = 2,167.31

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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.