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Finding the Fourth Proportional to 5,171.82, 7,134.80 and 3,492.70

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Solution

The fourth proportional to 5,171.82, 7,134.80 and 3,492.70 is: 4,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.82 : 7,134.80 = 3,492.70 : x
  2. Step 2: Convert to fraction form
    5,171.82/7,134.80 = 3,492.70/x
  3. Step 3: Cross multiply
    5,171.82x = 7,134.80 × 3,492.70
  4. Step 4: Simplify right side
    5,171.82x = 24,919,715.96
  5. Step 5: Solve for x
    x = 24,919,715.96/5,171.82
  6. Step 6: Final answer
    x = 4,818.36

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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.