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Finding the Fourth Proportional to 3,927.06, 5,894.84 and 2,827.89

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Solution

The fourth proportional to 3,927.06, 5,894.84 and 2,827.89 is: 4,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.06 : 5,894.84 = 2,827.89 : x
  2. Step 2: Convert to fraction form
    3,927.06/5,894.84 = 2,827.89/x
  3. Step 3: Cross multiply
    3,927.06x = 5,894.84 × 2,827.89
  4. Step 4: Simplify right side
    3,927.06x = 16,669,966.16
  5. Step 5: Solve for x
    x = 16,669,966.16/3,927.06
  6. Step 6: Final answer
    x = 4,244.90

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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.