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Finding the Fourth Proportional to 3,568.60, 5,350.02 and 3,280.60

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Solution

The fourth proportional to 3,568.60, 5,350.02 and 3,280.60 is: 4,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.60 : 5,350.02 = 3,280.60 : x
  2. Step 2: Convert to fraction form
    3,568.60/5,350.02 = 3,280.60/x
  3. Step 3: Cross multiply
    3,568.60x = 5,350.02 × 3,280.60
  4. Step 4: Simplify right side
    3,568.60x = 17,551,275.61
  5. Step 5: Solve for x
    x = 17,551,275.61/3,568.60
  6. Step 6: Final answer
    x = 4,918.25

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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.