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Finding the Fourth Proportional to 3,347.26, 4,616.13 and 2,167

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Solution

The fourth proportional to 3,347.26, 4,616.13 and 2,167 is: 2,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.26 : 4,616.13 = 2,167 : x
  2. Step 2: Convert to fraction form
    3,347.26/4,616.13 = 2,167/x
  3. Step 3: Cross multiply
    3,347.26x = 4,616.13 × 2,167
  4. Step 4: Simplify right side
    3,347.26x = 10,003,153.71
  5. Step 5: Solve for x
    x = 10,003,153.71/3,347.26
  6. Step 6: Final answer
    x = 2,988.46

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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.