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Finding the Fourth Proportional to 5,071.62, 6,997.82 and 3,182.70

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Solution

The fourth proportional to 5,071.62, 6,997.82 and 3,182.70 is: 4,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.62 : 6,997.82 = 3,182.70 : x
  2. Step 2: Convert to fraction form
    5,071.62/6,997.82 = 3,182.70/x
  3. Step 3: Cross multiply
    5,071.62x = 6,997.82 × 3,182.70
  4. Step 4: Simplify right side
    5,071.62x = 22,271,961.71
  5. Step 5: Solve for x
    x = 22,271,961.71/5,071.62
  6. Step 6: Final answer
    x = 4,391.49

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