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Finding the Fourth Proportional to 4,453.84, 6,146.24 and 2,464.42

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Solution

The fourth proportional to 4,453.84, 6,146.24 and 2,464.42 is: 3,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.84 : 6,146.24 = 2,464.42 : x
  2. Step 2: Convert to fraction form
    4,453.84/6,146.24 = 2,464.42/x
  3. Step 3: Cross multiply
    4,453.84x = 6,146.24 × 2,464.42
  4. Step 4: Simplify right side
    4,453.84x = 15,146,916.78
  5. Step 5: Solve for x
    x = 15,146,916.78/4,453.84
  6. Step 6: Final answer
    x = 3,400.87

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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.