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Finding the Fourth Proportional to 4,591.23, 6,333.82 and 2,822.19

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Solution

The fourth proportional to 4,591.23, 6,333.82 and 2,822.19 is: 3,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.23 : 6,333.82 = 2,822.19 : x
  2. Step 2: Convert to fraction form
    4,591.23/6,333.82 = 2,822.19/x
  3. Step 3: Cross multiply
    4,591.23x = 6,333.82 × 2,822.19
  4. Step 4: Simplify right side
    4,591.23x = 17,875,243.47
  5. Step 5: Solve for x
    x = 17,875,243.47/4,591.23
  6. Step 6: Final answer
    x = 3,893.35

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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.