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Finding the Fourth Proportional to 2,867.23, 3,957.90 and 2,788.24

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Solution

The fourth proportional to 2,867.23, 3,957.90 and 2,788.24 is: 3,848.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.23 : 3,957.90 = 2,788.24 : x
  2. Step 2: Convert to fraction form
    2,867.23/3,957.90 = 2,788.24/x
  3. Step 3: Cross multiply
    2,867.23x = 3,957.90 × 2,788.24
  4. Step 4: Simplify right side
    2,867.23x = 11,035,562.17
  5. Step 5: Solve for x
    x = 11,035,562.17/2,867.23
  6. Step 6: Final answer
    x = 3,848.86

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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.