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Finding the Fourth Proportional to 3,582.70, 5,371.72 and 1,391.65

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Solution

The fourth proportional to 3,582.70, 5,371.72 and 1,391.65 is: 2,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.70 : 5,371.72 = 1,391.65 : x
  2. Step 2: Convert to fraction form
    3,582.70/5,371.72 = 1,391.65/x
  3. Step 3: Cross multiply
    3,582.70x = 5,371.72 × 1,391.65
  4. Step 4: Simplify right side
    3,582.70x = 7,475,537.23
  5. Step 5: Solve for x
    x = 7,475,537.23/3,582.70
  6. Step 6: Final answer
    x = 2,086.57

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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.