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Finding the Fourth Proportional to 5,492.25, 8,186.22 and 5,172.71

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Solution

The fourth proportional to 5,492.25, 8,186.22 and 5,172.71 is: 7,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.25 : 8,186.22 = 5,172.71 : x
  2. Step 2: Convert to fraction form
    5,492.25/8,186.22 = 5,172.71/x
  3. Step 3: Cross multiply
    5,492.25x = 8,186.22 × 5,172.71
  4. Step 4: Simplify right side
    5,492.25x = 42,344,901.13
  5. Step 5: Solve for x
    x = 42,344,901.13/5,492.25
  6. Step 6: Final answer
    x = 7,709.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.