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Finding the Fourth Proportional to 5,787.57, 8,682.89 and 3,323.25

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Solution

The fourth proportional to 5,787.57, 8,682.89 and 3,323.25 is: 4,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.57 : 8,682.89 = 3,323.25 : x
  2. Step 2: Convert to fraction form
    5,787.57/8,682.89 = 3,323.25/x
  3. Step 3: Cross multiply
    5,787.57x = 8,682.89 × 3,323.25
  4. Step 4: Simplify right side
    5,787.57x = 28,855,397.58
  5. Step 5: Solve for x
    x = 28,855,397.58/5,787.57
  6. Step 6: Final answer
    x = 4,985.75

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1.5x scale

Why These Related Problems?

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