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Finding the Fourth Proportional to 3,541.73, 5,311.99 and 944.93

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Solution

The fourth proportional to 3,541.73, 5,311.99 and 944.93 is: 1,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.73 : 5,311.99 = 944.93 : x
  2. Step 2: Convert to fraction form
    3,541.73/5,311.99 = 944.93/x
  3. Step 3: Cross multiply
    3,541.73x = 5,311.99 × 944.93
  4. Step 4: Simplify right side
    3,541.73x = 5,019,458.71
  5. Step 5: Solve for x
    x = 5,019,458.71/3,541.73
  6. Step 6: Final answer
    x = 1,417.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.