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Finding the Fourth Proportional to 3,357.05, 5,035.18 and 892.06

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Solution

The fourth proportional to 3,357.05, 5,035.18 and 892.06 is: 1,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.05 : 5,035.18 = 892.06 : x
  2. Step 2: Convert to fraction form
    3,357.05/5,035.18 = 892.06/x
  3. Step 3: Cross multiply
    3,357.05x = 5,035.18 × 892.06
  4. Step 4: Simplify right side
    3,357.05x = 4,491,678.21
  5. Step 5: Solve for x
    x = 4,491,678.21/3,357.05
  6. Step 6: Final answer
    x = 1,337.99

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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.