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Finding the Fourth Proportional to 3,537.73, 5,305.99 and 940.93

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Solution

The fourth proportional to 3,537.73, 5,305.99 and 940.93 is: 1,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.73 : 5,305.99 = 940.93 : x
  2. Step 2: Convert to fraction form
    3,537.73/5,305.99 = 940.93/x
  3. Step 3: Cross multiply
    3,537.73x = 5,305.99 × 940.93
  4. Step 4: Simplify right side
    3,537.73x = 4,992,565.17
  5. Step 5: Solve for x
    x = 4,992,565.17/3,537.73
  6. Step 6: Final answer
    x = 1,411.23

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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.