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Finding the Fourth Proportional to 3,294.34, 4,548.63 and 2,116.06

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Solution

The fourth proportional to 3,294.34, 4,548.63 and 2,116.06 is: 2,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.34 : 4,548.63 = 2,116.06 : x
  2. Step 2: Convert to fraction form
    3,294.34/4,548.63 = 2,116.06/x
  3. Step 3: Cross multiply
    3,294.34x = 4,548.63 × 2,116.06
  4. Step 4: Simplify right side
    3,294.34x = 9,625,174.00
  5. Step 5: Solve for x
    x = 9,625,174.00/3,294.34
  6. Step 6: Final answer
    x = 2,921.73

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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.