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Finding the Fourth Proportional to 4,223.70, 6,335.55 and 2,838.60

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Solution

The fourth proportional to 4,223.70, 6,335.55 and 2,838.60 is: 4,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.70 : 6,335.55 = 2,838.60 : x
  2. Step 2: Convert to fraction form
    4,223.70/6,335.55 = 2,838.60/x
  3. Step 3: Cross multiply
    4,223.70x = 6,335.55 × 2,838.60
  4. Step 4: Simplify right side
    4,223.70x = 17,984,092.23
  5. Step 5: Solve for x
    x = 17,984,092.23/4,223.70
  6. Step 6: Final answer
    x = 4,257.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.