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Finding the Fourth Proportional to 5,765, 7,957.14 and 3,282.44

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Solution

The fourth proportional to 5,765, 7,957.14 and 3,282.44 is: 4,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765 : 7,957.14 = 3,282.44 : x
  2. Step 2: Convert to fraction form
    5,765/7,957.14 = 3,282.44/x
  3. Step 3: Cross multiply
    5,765x = 7,957.14 × 3,282.44
  4. Step 4: Simplify right side
    5,765x = 26,118,834.62
  5. Step 5: Solve for x
    x = 26,118,834.62/5,765
  6. Step 6: Final answer
    x = 4,530.59

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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.