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Finding the Fourth Proportional to 4,901.28, 6,764.22 and 2,805

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Solution

The fourth proportional to 4,901.28, 6,764.22 and 2,805 is: 3,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.28 : 6,764.22 = 2,805 : x
  2. Step 2: Convert to fraction form
    4,901.28/6,764.22 = 2,805/x
  3. Step 3: Cross multiply
    4,901.28x = 6,764.22 × 2,805
  4. Step 4: Simplify right side
    4,901.28x = 18,973,637.10
  5. Step 5: Solve for x
    x = 18,973,637.10/4,901.28
  6. Step 6: Final answer
    x = 3,871.16

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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.