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Finding the Fourth Proportional to 3,848.56, 5,775 and 1,540.24

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Solution

The fourth proportional to 3,848.56, 5,775 and 1,540.24 is: 2,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.56 : 5,775 = 1,540.24 : x
  2. Step 2: Convert to fraction form
    3,848.56/5,775 = 1,540.24/x
  3. Step 3: Cross multiply
    3,848.56x = 5,775 × 1,540.24
  4. Step 4: Simplify right side
    3,848.56x = 8,894,886
  5. Step 5: Solve for x
    x = 8,894,886/3,848.56
  6. Step 6: Final answer
    x = 2,311.22

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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.