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Finding the Fourth Proportional to 3,892.65, 5,835.12 and 1,551.24

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Solution

The fourth proportional to 3,892.65, 5,835.12 and 1,551.24 is: 2,325.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.65 : 5,835.12 = 1,551.24 : x
  2. Step 2: Convert to fraction form
    3,892.65/5,835.12 = 1,551.24/x
  3. Step 3: Cross multiply
    3,892.65x = 5,835.12 × 1,551.24
  4. Step 4: Simplify right side
    3,892.65x = 9,051,671.55
  5. Step 5: Solve for x
    x = 9,051,671.55/3,892.65
  6. Step 6: Final answer
    x = 2,325.32

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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.