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Finding the Fourth Proportional to 5,684.06, 7,844.01 and 3,166.66

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Solution

The fourth proportional to 5,684.06, 7,844.01 and 3,166.66 is: 4,369.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.06 : 7,844.01 = 3,166.66 : x
  2. Step 2: Convert to fraction form
    5,684.06/7,844.01 = 3,166.66/x
  3. Step 3: Cross multiply
    5,684.06x = 7,844.01 × 3,166.66
  4. Step 4: Simplify right side
    5,684.06x = 24,839,312.71
  5. Step 5: Solve for x
    x = 24,839,312.71/5,684.06
  6. Step 6: Final answer
    x = 4,369.99

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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.