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Finding the Fourth Proportional to 3,590.82, 5,382.96 and 1,281.78

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Solution

The fourth proportional to 3,590.82, 5,382.96 and 1,281.78 is: 1,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.82 : 5,382.96 = 1,281.78 : x
  2. Step 2: Convert to fraction form
    3,590.82/5,382.96 = 1,281.78/x
  3. Step 3: Cross multiply
    3,590.82x = 5,382.96 × 1,281.78
  4. Step 4: Simplify right side
    3,590.82x = 6,899,770.47
  5. Step 5: Solve for x
    x = 6,899,770.47/3,590.82
  6. Step 6: Final answer
    x = 1,921.50

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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.