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Finding the Fourth Proportional to 2,846.54, 4,237.92 and 2,832.84

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Solution

The fourth proportional to 2,846.54, 4,237.92 and 2,832.84 is: 4,217.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.54 : 4,237.92 = 2,832.84 : x
  2. Step 2: Convert to fraction form
    2,846.54/4,237.92 = 2,832.84/x
  3. Step 3: Cross multiply
    2,846.54x = 4,237.92 × 2,832.84
  4. Step 4: Simplify right side
    2,846.54x = 12,005,349.29
  5. Step 5: Solve for x
    x = 12,005,349.29/2,846.54
  6. Step 6: Final answer
    x = 4,217.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.