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Finding the Fourth Proportional to 3,845.36, 5,767.72 and 1,248.24

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Solution

The fourth proportional to 3,845.36, 5,767.72 and 1,248.24 is: 1,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.36 : 5,767.72 = 1,248.24 : x
  2. Step 2: Convert to fraction form
    3,845.36/5,767.72 = 1,248.24/x
  3. Step 3: Cross multiply
    3,845.36x = 5,767.72 × 1,248.24
  4. Step 4: Simplify right side
    3,845.36x = 7,199,498.81
  5. Step 5: Solve for x
    x = 7,199,498.81/3,845.36
  6. Step 6: Final answer
    x = 1,872.26

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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.