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Finding the Fourth Proportional to 4,822.74, 6,652.68 and 2,832.93

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Solution

The fourth proportional to 4,822.74, 6,652.68 and 2,832.93 is: 3,907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.74 : 6,652.68 = 2,832.93 : x
  2. Step 2: Convert to fraction form
    4,822.74/6,652.68 = 2,832.93/x
  3. Step 3: Cross multiply
    4,822.74x = 6,652.68 × 2,832.93
  4. Step 4: Simplify right side
    4,822.74x = 18,846,576.75
  5. Step 5: Solve for x
    x = 18,846,576.75/4,822.74
  6. Step 6: Final answer
    x = 3,907.86

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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.