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Finding the Fourth Proportional to 5,462.10, 8,194.50 and 1,566.81

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Solution

The fourth proportional to 5,462.10, 8,194.50 and 1,566.81 is: 2,350.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.10 : 8,194.50 = 1,566.81 : x
  2. Step 2: Convert to fraction form
    5,462.10/8,194.50 = 1,566.81/x
  3. Step 3: Cross multiply
    5,462.10x = 8,194.50 × 1,566.81
  4. Step 4: Simplify right side
    5,462.10x = 12,839,224.55
  5. Step 5: Solve for x
    x = 12,839,224.55/5,462.10
  6. Step 6: Final answer
    x = 2,350.60

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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.