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Finding the Fourth Proportional to 3,845.53, 5,768.16 and 1,248.45

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Solution

The fourth proportional to 3,845.53, 5,768.16 and 1,248.45 is: 1,872.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.53 : 5,768.16 = 1,248.45 : x
  2. Step 2: Convert to fraction form
    3,845.53/5,768.16 = 1,248.45/x
  3. Step 3: Cross multiply
    3,845.53x = 5,768.16 × 1,248.45
  4. Step 4: Simplify right side
    3,845.53x = 7,201,259.35
  5. Step 5: Solve for x
    x = 7,201,259.35/3,845.53
  6. Step 6: Final answer
    x = 1,872.63

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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.