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Finding the Fourth Proportional to 5,229.81, 7,844.15 and 1,532.08

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Solution

The fourth proportional to 5,229.81, 7,844.15 and 1,532.08 is: 2,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.81 : 7,844.15 = 1,532.08 : x
  2. Step 2: Convert to fraction form
    5,229.81/7,844.15 = 1,532.08/x
  3. Step 3: Cross multiply
    5,229.81x = 7,844.15 × 1,532.08
  4. Step 4: Simplify right side
    5,229.81x = 12,017,818.45
  5. Step 5: Solve for x
    x = 12,017,818.45/5,229.81
  6. Step 6: Final answer
    x = 2,297.95

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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.