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Finding the Fourth Proportional to 3,553.74, 5,329.97 and 956.07

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Solution

The fourth proportional to 3,553.74, 5,329.97 and 956.07 is: 1,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.74 : 5,329.97 = 956.07 : x
  2. Step 2: Convert to fraction form
    3,553.74/5,329.97 = 956.07/x
  3. Step 3: Cross multiply
    3,553.74x = 5,329.97 × 956.07
  4. Step 4: Simplify right side
    3,553.74x = 5,095,819.64
  5. Step 5: Solve for x
    x = 5,095,819.64/3,553.74
  6. Step 6: Final answer
    x = 1,433.93

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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.