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Finding the Fourth Proportional to 5,570.50, 8,353.02 and 2,282.70

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Solution

The fourth proportional to 5,570.50, 8,353.02 and 2,282.70 is: 3,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.50 : 8,353.02 = 2,282.70 : x
  2. Step 2: Convert to fraction form
    5,570.50/8,353.02 = 2,282.70/x
  3. Step 3: Cross multiply
    5,570.50x = 8,353.02 × 2,282.70
  4. Step 4: Simplify right side
    5,570.50x = 19,067,438.75
  5. Step 5: Solve for x
    x = 19,067,438.75/5,570.50
  6. Step 6: Final answer
    x = 3,422.93

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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.