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Finding the Fourth Proportional to 4,563.84, 6,298.10 and 2,467.97

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Solution

The fourth proportional to 4,563.84, 6,298.10 and 2,467.97 is: 3,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.84 : 6,298.10 = 2,467.97 : x
  2. Step 2: Convert to fraction form
    4,563.84/6,298.10 = 2,467.97/x
  3. Step 3: Cross multiply
    4,563.84x = 6,298.10 × 2,467.97
  4. Step 4: Simplify right side
    4,563.84x = 15,543,524.78
  5. Step 5: Solve for x
    x = 15,543,524.78/4,563.84
  6. Step 6: Final answer
    x = 3,405.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.