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Finding the Fourth Proportional to 3,436.54, 5,153.06 and 2,448.78

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Solution

The fourth proportional to 3,436.54, 5,153.06 and 2,448.78 is: 3,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.54 : 5,153.06 = 2,448.78 : x
  2. Step 2: Convert to fraction form
    3,436.54/5,153.06 = 2,448.78/x
  3. Step 3: Cross multiply
    3,436.54x = 5,153.06 × 2,448.78
  4. Step 4: Simplify right side
    3,436.54x = 12,618,710.27
  5. Step 5: Solve for x
    x = 12,618,710.27/3,436.54
  6. Step 6: Final answer
    x = 3,671.92

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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.