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Finding the Fourth Proportional to 4,267.18, 6,400 and 1,803.73

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Solution

The fourth proportional to 4,267.18, 6,400 and 1,803.73 is: 2,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.18 : 6,400 = 1,803.73 : x
  2. Step 2: Convert to fraction form
    4,267.18/6,400 = 1,803.73/x
  3. Step 3: Cross multiply
    4,267.18x = 6,400 × 1,803.73
  4. Step 4: Simplify right side
    4,267.18x = 11,543,872
  5. Step 5: Solve for x
    x = 11,543,872/4,267.18
  6. Step 6: Final answer
    x = 2,705.27

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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.