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Finding the Fourth Proportional to 3,193.78, 4,406.16 and 2,356.50

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Solution

The fourth proportional to 3,193.78, 4,406.16 and 2,356.50 is: 3,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.78 : 4,406.16 = 2,356.50 : x
  2. Step 2: Convert to fraction form
    3,193.78/4,406.16 = 2,356.50/x
  3. Step 3: Cross multiply
    3,193.78x = 4,406.16 × 2,356.50
  4. Step 4: Simplify right side
    3,193.78x = 10,383,116.04
  5. Step 5: Solve for x
    x = 10,383,116.04/3,193.78
  6. Step 6: Final answer
    x = 3,251.04

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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.