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Finding the Fourth Proportional to 5,491.92, 8,237.84 and 4,668.24

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Solution

The fourth proportional to 5,491.92, 8,237.84 and 4,668.24 is: 7,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.92 : 8,237.84 = 4,668.24 : x
  2. Step 2: Convert to fraction form
    5,491.92/8,237.84 = 4,668.24/x
  3. Step 3: Cross multiply
    5,491.92x = 8,237.84 × 4,668.24
  4. Step 4: Simplify right side
    5,491.92x = 38,456,214.20
  5. Step 5: Solve for x
    x = 38,456,214.20/5,491.92
  6. Step 6: Final answer
    x = 7,002.33

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1.5x scale

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.