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Finding the Fourth Proportional to 5,582.74, 8,371.23 and 2,295.22

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Solution

The fourth proportional to 5,582.74, 8,371.23 and 2,295.22 is: 3,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.74 : 8,371.23 = 2,295.22 : x
  2. Step 2: Convert to fraction form
    5,582.74/8,371.23 = 2,295.22/x
  3. Step 3: Cross multiply
    5,582.74x = 8,371.23 × 2,295.22
  4. Step 4: Simplify right side
    5,582.74x = 19,213,814.52
  5. Step 5: Solve for x
    x = 19,213,814.52/5,582.74
  6. Step 6: Final answer
    x = 3,441.65

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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.