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Finding the Fourth Proportional to 4,813.62, 6,640.92 and 2,823.44

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Solution

The fourth proportional to 4,813.62, 6,640.92 and 2,823.44 is: 3,895.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.62 : 6,640.92 = 2,823.44 : x
  2. Step 2: Convert to fraction form
    4,813.62/6,640.92 = 2,823.44/x
  3. Step 3: Cross multiply
    4,813.62x = 6,640.92 × 2,823.44
  4. Step 4: Simplify right side
    4,813.62x = 18,750,239.16
  5. Step 5: Solve for x
    x = 18,750,239.16/4,813.62
  6. Step 6: Final answer
    x = 3,895.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.