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Finding the Fourth Proportional to 3,685.92, 5,087.64 and 2,363.16

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Solution

The fourth proportional to 3,685.92, 5,087.64 and 2,363.16 is: 3,261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.92 : 5,087.64 = 2,363.16 : x
  2. Step 2: Convert to fraction form
    3,685.92/5,087.64 = 2,363.16/x
  3. Step 3: Cross multiply
    3,685.92x = 5,087.64 × 2,363.16
  4. Step 4: Simplify right side
    3,685.92x = 12,022,907.34
  5. Step 5: Solve for x
    x = 12,022,907.34/3,685.92
  6. Step 6: Final answer
    x = 3,261.85

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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.