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Finding the Fourth Proportional to 3,122.66, 4,285.48 and 2,827.28

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Solution

The fourth proportional to 3,122.66, 4,285.48 and 2,827.28 is: 3,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.66 : 4,285.48 = 2,827.28 : x
  2. Step 2: Convert to fraction form
    3,122.66/4,285.48 = 2,827.28/x
  3. Step 3: Cross multiply
    3,122.66x = 4,285.48 × 2,827.28
  4. Step 4: Simplify right side
    3,122.66x = 12,116,251.89
  5. Step 5: Solve for x
    x = 12,116,251.89/3,122.66
  6. Step 6: Final answer
    x = 3,880.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.