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Finding the Fourth Proportional to 3,661.93, 5,493.57 and 1,470.61

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Solution

The fourth proportional to 3,661.93, 5,493.57 and 1,470.61 is: 2,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.93 : 5,493.57 = 1,470.61 : x
  2. Step 2: Convert to fraction form
    3,661.93/5,493.57 = 1,470.61/x
  3. Step 3: Cross multiply
    3,661.93x = 5,493.57 × 1,470.61
  4. Step 4: Simplify right side
    3,661.93x = 8,078,898.98
  5. Step 5: Solve for x
    x = 8,078,898.98/3,661.93
  6. Step 6: Final answer
    x = 2,206.19

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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.