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Finding the Fourth Proportional to 3,485.38, 5,225.38 and 1,143.97

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Solution

The fourth proportional to 3,485.38, 5,225.38 and 1,143.97 is: 1,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.38 : 5,225.38 = 1,143.97 : x
  2. Step 2: Convert to fraction form
    3,485.38/5,225.38 = 1,143.97/x
  3. Step 3: Cross multiply
    3,485.38x = 5,225.38 × 1,143.97
  4. Step 4: Simplify right side
    3,485.38x = 5,977,677.96
  5. Step 5: Solve for x
    x = 5,977,677.96/3,485.38
  6. Step 6: Final answer
    x = 1,715.07

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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.