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Finding the Fourth Proportional to 4,901.44, 6,764.14 and 2,776.92

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Solution

The fourth proportional to 4,901.44, 6,764.14 and 2,776.92 is: 3,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.44 : 6,764.14 = 2,776.92 : x
  2. Step 2: Convert to fraction form
    4,901.44/6,764.14 = 2,776.92/x
  3. Step 3: Cross multiply
    4,901.44x = 6,764.14 × 2,776.92
  4. Step 4: Simplify right side
    4,901.44x = 18,783,475.65
  5. Step 5: Solve for x
    x = 18,783,475.65/4,901.44
  6. Step 6: Final answer
    x = 3,832.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.