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Finding the Fourth Proportional to 5,286.76, 7,927.66 and 3,066.23

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Solution

The fourth proportional to 5,286.76, 7,927.66 and 3,066.23 is: 4,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.76 : 7,927.66 = 3,066.23 : x
  2. Step 2: Convert to fraction form
    5,286.76/7,927.66 = 3,066.23/x
  3. Step 3: Cross multiply
    5,286.76x = 7,927.66 × 3,066.23
  4. Step 4: Simplify right side
    5,286.76x = 24,307,981.62
  5. Step 5: Solve for x
    x = 24,307,981.62/5,286.76
  6. Step 6: Final answer
    x = 4,597.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.