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Finding the Fourth Proportional to 4,154.58, 5,731.92 and 2,826

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Solution

The fourth proportional to 4,154.58, 5,731.92 and 2,826 is: 3,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.58 : 5,731.92 = 2,826 : x
  2. Step 2: Convert to fraction form
    4,154.58/5,731.92 = 2,826/x
  3. Step 3: Cross multiply
    4,154.58x = 5,731.92 × 2,826
  4. Step 4: Simplify right side
    4,154.58x = 16,198,405.92
  5. Step 5: Solve for x
    x = 16,198,405.92/4,154.58
  6. Step 6: Final answer
    x = 3,898.93

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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.