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Finding the Fourth Proportional to 5,411.98, 8,116.94 and 2,294.19

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Solution

The fourth proportional to 5,411.98, 8,116.94 and 2,294.19 is: 3,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.98 : 8,116.94 = 2,294.19 : x
  2. Step 2: Convert to fraction form
    5,411.98/8,116.94 = 2,294.19/x
  3. Step 3: Cross multiply
    5,411.98x = 8,116.94 × 2,294.19
  4. Step 4: Simplify right side
    5,411.98x = 18,621,808.31
  5. Step 5: Solve for x
    x = 18,621,808.31/5,411.98
  6. Step 6: Final answer
    x = 3,440.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.