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Finding the Fourth Proportional to 5,057.64, 6,982.44 and 3,853.17

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Solution

The fourth proportional to 5,057.64, 6,982.44 and 3,853.17 is: 5,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.64 : 6,982.44 = 3,853.17 : x
  2. Step 2: Convert to fraction form
    5,057.64/6,982.44 = 3,853.17/x
  3. Step 3: Cross multiply
    5,057.64x = 6,982.44 × 3,853.17
  4. Step 4: Simplify right side
    5,057.64x = 26,904,513.89
  5. Step 5: Solve for x
    x = 26,904,513.89/5,057.64
  6. Step 6: Final answer
    x = 5,319.58

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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.