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Finding the Fourth Proportional to 4,592.72, 6,335.92 and 2,823.28

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Solution

The fourth proportional to 4,592.72, 6,335.92 and 2,823.28 is: 3,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.72 : 6,335.92 = 2,823.28 : x
  2. Step 2: Convert to fraction form
    4,592.72/6,335.92 = 2,823.28/x
  3. Step 3: Cross multiply
    4,592.72x = 6,335.92 × 2,823.28
  4. Step 4: Simplify right side
    4,592.72x = 17,888,076.22
  5. Step 5: Solve for x
    x = 17,888,076.22/4,592.72
  6. Step 6: Final answer
    x = 3,894.88

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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.