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Finding the Fourth Proportional to 3,355.29, 5,035.23 and 1,164.02

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Solution

The fourth proportional to 3,355.29, 5,035.23 and 1,164.02 is: 1,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.29 : 5,035.23 = 1,164.02 : x
  2. Step 2: Convert to fraction form
    3,355.29/5,035.23 = 1,164.02/x
  3. Step 3: Cross multiply
    3,355.29x = 5,035.23 × 1,164.02
  4. Step 4: Simplify right side
    3,355.29x = 5,861,108.42
  5. Step 5: Solve for x
    x = 5,861,108.42/3,355.29
  6. Step 6: Final answer
    x = 1,746.83

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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.