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Finding the Fourth Proportional to 4,223, 5,827.92 and 2,360

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Solution

The fourth proportional to 4,223, 5,827.92 and 2,360 is: 3,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223 : 5,827.92 = 2,360 : x
  2. Step 2: Convert to fraction form
    4,223/5,827.92 = 2,360/x
  3. Step 3: Cross multiply
    4,223x = 5,827.92 × 2,360
  4. Step 4: Simplify right side
    4,223x = 13,753,891.20
  5. Step 5: Solve for x
    x = 13,753,891.20/4,223
  6. Step 6: Final answer
    x = 3,256.90

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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.