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Finding the Fourth Proportional to 4,490.99, 6,736.49 and 1,568.61

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Solution

The fourth proportional to 4,490.99, 6,736.49 and 1,568.61 is: 2,352.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.99 : 6,736.49 = 1,568.61 : x
  2. Step 2: Convert to fraction form
    4,490.99/6,736.49 = 1,568.61/x
  3. Step 3: Cross multiply
    4,490.99x = 6,736.49 × 1,568.61
  4. Step 4: Simplify right side
    4,490.99x = 10,566,917.74
  5. Step 5: Solve for x
    x = 10,566,917.74/4,490.99
  6. Step 6: Final answer
    x = 2,352.92

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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.