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Finding the Fourth Proportional to 5,787.41, 8,020.22 and 5,676.65

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Solution

The fourth proportional to 5,787.41, 8,020.22 and 5,676.65 is: 7,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.41 : 8,020.22 = 5,676.65 : x
  2. Step 2: Convert to fraction form
    5,787.41/8,020.22 = 5,676.65/x
  3. Step 3: Cross multiply
    5,787.41x = 8,020.22 × 5,676.65
  4. Step 4: Simplify right side
    5,787.41x = 45,527,913.38
  5. Step 5: Solve for x
    x = 45,527,913.38/5,787.41
  6. Step 6: Final answer
    x = 7,866.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.