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Finding the Fourth Proportional to 3,355.84, 5,033.92 and 2,065.60

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Solution

The fourth proportional to 3,355.84, 5,033.92 and 2,065.60 is: 3,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.84 : 5,033.92 = 2,065.60 : x
  2. Step 2: Convert to fraction form
    3,355.84/5,033.92 = 2,065.60/x
  3. Step 3: Cross multiply
    3,355.84x = 5,033.92 × 2,065.60
  4. Step 4: Simplify right side
    3,355.84x = 10,398,065.15
  5. Step 5: Solve for x
    x = 10,398,065.15/3,355.84
  6. Step 6: Final answer
    x = 3,098.50

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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.