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Finding the Fourth Proportional to 3,846.41, 5,307.98 and 2,167.82

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Solution

The fourth proportional to 3,846.41, 5,307.98 and 2,167.82 is: 2,991.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.41 : 5,307.98 = 2,167.82 : x
  2. Step 2: Convert to fraction form
    3,846.41/5,307.98 = 2,167.82/x
  3. Step 3: Cross multiply
    3,846.41x = 5,307.98 × 2,167.82
  4. Step 4: Simplify right side
    3,846.41x = 11,506,707.82
  5. Step 5: Solve for x
    x = 11,506,707.82/3,846.41
  6. Step 6: Final answer
    x = 2,991.55

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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.