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Finding the Fourth Proportional to 4,482.69, 6,724.82 and 1,709.61

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Solution

The fourth proportional to 4,482.69, 6,724.82 and 1,709.61 is: 2,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482.69 : 6,724.82 = 1,709.61 : x
  2. Step 2: Convert to fraction form
    4,482.69/6,724.82 = 1,709.61/x
  3. Step 3: Cross multiply
    4,482.69x = 6,724.82 × 1,709.61
  4. Step 4: Simplify right side
    4,482.69x = 11,496,810.97
  5. Step 5: Solve for x
    x = 11,496,810.97/4,482.69
  6. Step 6: Final answer
    x = 2,564.71

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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.