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Finding the Fourth Proportional to 3,591.84, 4,954.32 and 2,192.16

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Solution

The fourth proportional to 3,591.84, 4,954.32 and 2,192.16 is: 3,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.84 : 4,954.32 = 2,192.16 : x
  2. Step 2: Convert to fraction form
    3,591.84/4,954.32 = 2,192.16/x
  3. Step 3: Cross multiply
    3,591.84x = 4,954.32 × 2,192.16
  4. Step 4: Simplify right side
    3,591.84x = 10,860,662.13
  5. Step 5: Solve for x
    x = 10,860,662.13/3,591.84
  6. Step 6: Final answer
    x = 3,023.70

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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.