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Finding the Fourth Proportional to 3,846.17, 5,307.71 and 2,167.98

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Solution

The fourth proportional to 3,846.17, 5,307.71 and 2,167.98 is: 2,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.17 : 5,307.71 = 2,167.98 : x
  2. Step 2: Convert to fraction form
    3,846.17/5,307.71 = 2,167.98/x
  3. Step 3: Cross multiply
    3,846.17x = 5,307.71 × 2,167.98
  4. Step 4: Simplify right side
    3,846.17x = 11,506,998.29
  5. Step 5: Solve for x
    x = 11,506,998.29/3,846.17
  6. Step 6: Final answer
    x = 2,991.81

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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.