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Finding the Fourth Proportional to 4,476.44, 6,726 and 2,833.76

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Solution

The fourth proportional to 4,476.44, 6,726 and 2,833.76 is: 4,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.44 : 6,726 = 2,833.76 : x
  2. Step 2: Convert to fraction form
    4,476.44/6,726 = 2,833.76/x
  3. Step 3: Cross multiply
    4,476.44x = 6,726 × 2,833.76
  4. Step 4: Simplify right side
    4,476.44x = 19,059,869.76
  5. Step 5: Solve for x
    x = 19,059,869.76/4,476.44
  6. Step 6: Final answer
    x = 4,257.82

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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.