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Finding the Fourth Proportional to 4,188.73, 5,781.54 and 2,511.22

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Solution

The fourth proportional to 4,188.73, 5,781.54 and 2,511.22 is: 3,466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.73 : 5,781.54 = 2,511.22 : x
  2. Step 2: Convert to fraction form
    4,188.73/5,781.54 = 2,511.22/x
  3. Step 3: Cross multiply
    4,188.73x = 5,781.54 × 2,511.22
  4. Step 4: Simplify right side
    4,188.73x = 14,518,718.88
  5. Step 5: Solve for x
    x = 14,518,718.88/4,188.73
  6. Step 6: Final answer
    x = 3,466.14

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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.