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Finding the Fourth Proportional to 5,923.80, 8,878.14 and 2,222.64

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Solution

The fourth proportional to 5,923.80, 8,878.14 and 2,222.64 is: 3,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.80 : 8,878.14 = 2,222.64 : x
  2. Step 2: Convert to fraction form
    5,923.80/8,878.14 = 2,222.64/x
  3. Step 3: Cross multiply
    5,923.80x = 8,878.14 × 2,222.64
  4. Step 4: Simplify right side
    5,923.80x = 19,732,909.09
  5. Step 5: Solve for x
    x = 19,732,909.09/5,923.80
  6. Step 6: Final answer
    x = 3,331.12

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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.