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Finding the Fourth Proportional to 4,153.62, 6,228.80 and 1,843.50

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Solution

The fourth proportional to 4,153.62, 6,228.80 and 1,843.50 is: 2,764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.62 : 6,228.80 = 1,843.50 : x
  2. Step 2: Convert to fraction form
    4,153.62/6,228.80 = 1,843.50/x
  3. Step 3: Cross multiply
    4,153.62x = 6,228.80 × 1,843.50
  4. Step 4: Simplify right side
    4,153.62x = 11,482,792.80
  5. Step 5: Solve for x
    x = 11,482,792.80/4,153.62
  6. Step 6: Final answer
    x = 2,764.53

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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.