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Finding the Fourth Proportional to 5,613.78, 8,420.94 and 1,718.22

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Solution

The fourth proportional to 5,613.78, 8,420.94 and 1,718.22 is: 2,577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.78 : 8,420.94 = 1,718.22 : x
  2. Step 2: Convert to fraction form
    5,613.78/8,420.94 = 1,718.22/x
  3. Step 3: Cross multiply
    5,613.78x = 8,420.94 × 1,718.22
  4. Step 4: Simplify right side
    5,613.78x = 14,469,027.53
  5. Step 5: Solve for x
    x = 14,469,027.53/5,613.78
  6. Step 6: Final answer
    x = 2,577.41

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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.