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Finding the Fourth Proportional to 3,845.80, 5,768.16 and 1,248.40

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Solution

The fourth proportional to 3,845.80, 5,768.16 and 1,248.40 is: 1,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.80 : 5,768.16 = 1,248.40 : x
  2. Step 2: Convert to fraction form
    3,845.80/5,768.16 = 1,248.40/x
  3. Step 3: Cross multiply
    3,845.80x = 5,768.16 × 1,248.40
  4. Step 4: Simplify right side
    3,845.80x = 7,200,970.94
  5. Step 5: Solve for x
    x = 7,200,970.94/3,845.80
  6. Step 6: Final answer
    x = 1,872.42

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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.