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Finding the Fourth Proportional to 5,919.50, 8,880.76 and 2,221.74

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Solution

The fourth proportional to 5,919.50, 8,880.76 and 2,221.74 is: 3,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.50 : 8,880.76 = 2,221.74 : x
  2. Step 2: Convert to fraction form
    5,919.50/8,880.76 = 2,221.74/x
  3. Step 3: Cross multiply
    5,919.50x = 8,880.76 × 2,221.74
  4. Step 4: Simplify right side
    5,919.50x = 19,730,739.72
  5. Step 5: Solve for x
    x = 19,730,739.72/5,919.50
  6. Step 6: Final answer
    x = 3,333.18

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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.