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Finding the Fourth Proportional to 4,596.28, 6,340.84 and 2,827.24

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Solution

The fourth proportional to 4,596.28, 6,340.84 and 2,827.24 is: 3,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.28 : 6,340.84 = 2,827.24 : x
  2. Step 2: Convert to fraction form
    4,596.28/6,340.84 = 2,827.24/x
  3. Step 3: Cross multiply
    4,596.28x = 6,340.84 × 2,827.24
  4. Step 4: Simplify right side
    4,596.28x = 17,927,076.48
  5. Step 5: Solve for x
    x = 17,927,076.48/4,596.28
  6. Step 6: Final answer
    x = 3,900.34

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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.