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Finding the Fourth Proportional to 3,435.96, 5,153.88 and 2,380.80

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Solution

The fourth proportional to 3,435.96, 5,153.88 and 2,380.80 is: 3,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.96 : 5,153.88 = 2,380.80 : x
  2. Step 2: Convert to fraction form
    3,435.96/5,153.88 = 2,380.80/x
  3. Step 3: Cross multiply
    3,435.96x = 5,153.88 × 2,380.80
  4. Step 4: Simplify right side
    3,435.96x = 12,270,357.50
  5. Step 5: Solve for x
    x = 12,270,357.50/3,435.96
  6. Step 6: Final answer
    x = 3,571.16

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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.