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Finding the Fourth Proportional to 3,963.83, 5,470.07 and 2,285.22

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Solution

The fourth proportional to 3,963.83, 5,470.07 and 2,285.22 is: 3,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.83 : 5,470.07 = 2,285.22 : x
  2. Step 2: Convert to fraction form
    3,963.83/5,470.07 = 2,285.22/x
  3. Step 3: Cross multiply
    3,963.83x = 5,470.07 × 2,285.22
  4. Step 4: Simplify right side
    3,963.83x = 12,500,315.61
  5. Step 5: Solve for x
    x = 12,500,315.61/3,963.83
  6. Step 6: Final answer
    x = 3,153.60

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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.