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Finding the Fourth Proportional to 3,294.66, 4,546.86 and 2,116.10

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Solution

The fourth proportional to 3,294.66, 4,546.86 and 2,116.10 is: 2,920.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.66 : 4,546.86 = 2,116.10 : x
  2. Step 2: Convert to fraction form
    3,294.66/4,546.86 = 2,116.10/x
  3. Step 3: Cross multiply
    3,294.66x = 4,546.86 × 2,116.10
  4. Step 4: Simplify right side
    3,294.66x = 9,621,610.45
  5. Step 5: Solve for x
    x = 9,621,610.45/3,294.66
  6. Step 6: Final answer
    x = 2,920.37

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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.