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Finding the Fourth Proportional to 3,892.30, 5,838.81 and 1,551.74

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Solution

The fourth proportional to 3,892.30, 5,838.81 and 1,551.74 is: 2,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.30 : 5,838.81 = 1,551.74 : x
  2. Step 2: Convert to fraction form
    3,892.30/5,838.81 = 1,551.74/x
  3. Step 3: Cross multiply
    3,892.30x = 5,838.81 × 1,551.74
  4. Step 4: Simplify right side
    3,892.30x = 9,060,313.55
  5. Step 5: Solve for x
    x = 9,060,313.55/3,892.30
  6. Step 6: Final answer
    x = 2,327.75

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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.