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Finding the Fourth Proportional to 4,827.94, 7,243.98 and 2,055.22

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Solution

The fourth proportional to 4,827.94, 7,243.98 and 2,055.22 is: 3,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.94 : 7,243.98 = 2,055.22 : x
  2. Step 2: Convert to fraction form
    4,827.94/7,243.98 = 2,055.22/x
  3. Step 3: Cross multiply
    4,827.94x = 7,243.98 × 2,055.22
  4. Step 4: Simplify right side
    4,827.94x = 14,887,972.58
  5. Step 5: Solve for x
    x = 14,887,972.58/4,827.94
  6. Step 6: Final answer
    x = 3,083.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.