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Finding the Fourth Proportional to 5,435.70, 7,500.24 and 3,310.80

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Solution

The fourth proportional to 5,435.70, 7,500.24 and 3,310.80 is: 4,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.70 : 7,500.24 = 3,310.80 : x
  2. Step 2: Convert to fraction form
    5,435.70/7,500.24 = 3,310.80/x
  3. Step 3: Cross multiply
    5,435.70x = 7,500.24 × 3,310.80
  4. Step 4: Simplify right side
    5,435.70x = 24,831,794.59
  5. Step 5: Solve for x
    x = 24,831,794.59/5,435.70
  6. Step 6: Final answer
    x = 4,568.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.