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Finding the Fourth Proportional to 5,568.50, 8,350.02 and 2,280.70

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Solution

The fourth proportional to 5,568.50, 8,350.02 and 2,280.70 is: 3,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.50 : 8,350.02 = 2,280.70 : x
  2. Step 2: Convert to fraction form
    5,568.50/8,350.02 = 2,280.70/x
  3. Step 3: Cross multiply
    5,568.50x = 8,350.02 × 2,280.70
  4. Step 4: Simplify right side
    5,568.50x = 19,043,890.61
  5. Step 5: Solve for x
    x = 19,043,890.61/5,568.50
  6. Step 6: Final answer
    x = 3,419.93

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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.