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Finding the Fourth Proportional to 2,815.72, 3,877.86 and 2,596.84

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Solution

The fourth proportional to 2,815.72, 3,877.86 and 2,596.84 is: 3,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.72 : 3,877.86 = 2,596.84 : x
  2. Step 2: Convert to fraction form
    2,815.72/3,877.86 = 2,596.84/x
  3. Step 3: Cross multiply
    2,815.72x = 3,877.86 × 2,596.84
  4. Step 4: Simplify right side
    2,815.72x = 10,070,181.96
  5. Step 5: Solve for x
    x = 10,070,181.96/2,815.72
  6. Step 6: Final answer
    x = 3,576.41

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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.