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Finding the Fourth Proportional to 4,562.95, 6,843.84 and 1,443.27

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Solution

The fourth proportional to 4,562.95, 6,843.84 and 1,443.27 is: 2,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.95 : 6,843.84 = 1,443.27 : x
  2. Step 2: Convert to fraction form
    4,562.95/6,843.84 = 1,443.27/x
  3. Step 3: Cross multiply
    4,562.95x = 6,843.84 × 1,443.27
  4. Step 4: Simplify right side
    4,562.95x = 9,877,508.96
  5. Step 5: Solve for x
    x = 9,877,508.96/4,562.95
  6. Step 6: Final answer
    x = 2,164.72

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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.