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Finding the Fourth Proportional to 5,731.10, 8,596.65 and 2,815.10

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Solution

The fourth proportional to 5,731.10, 8,596.65 and 2,815.10 is: 4,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.10 : 8,596.65 = 2,815.10 : x
  2. Step 2: Convert to fraction form
    5,731.10/8,596.65 = 2,815.10/x
  3. Step 3: Cross multiply
    5,731.10x = 8,596.65 × 2,815.10
  4. Step 4: Simplify right side
    5,731.10x = 24,200,429.42
  5. Step 5: Solve for x
    x = 24,200,429.42/5,731.10
  6. Step 6: Final answer
    x = 4,222.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.