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Finding the Fourth Proportional to 3,848.72, 5,764.44 and 2,754.32

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Solution

The fourth proportional to 3,848.72, 5,764.44 and 2,754.32 is: 4,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.72 : 5,764.44 = 2,754.32 : x
  2. Step 2: Convert to fraction form
    3,848.72/5,764.44 = 2,754.32/x
  3. Step 3: Cross multiply
    3,848.72x = 5,764.44 × 2,754.32
  4. Step 4: Simplify right side
    3,848.72x = 15,877,112.38
  5. Step 5: Solve for x
    x = 15,877,112.38/3,848.72
  6. Step 6: Final answer
    x = 4,125.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.