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Finding the Fourth Proportional to 5,668.90, 7,823.04 and 3,151.24

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Solution

The fourth proportional to 5,668.90, 7,823.04 and 3,151.24 is: 4,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.90 : 7,823.04 = 3,151.24 : x
  2. Step 2: Convert to fraction form
    5,668.90/7,823.04 = 3,151.24/x
  3. Step 3: Cross multiply
    5,668.90x = 7,823.04 × 3,151.24
  4. Step 4: Simplify right side
    5,668.90x = 24,652,276.57
  5. Step 5: Solve for x
    x = 24,652,276.57/5,668.90
  6. Step 6: Final answer
    x = 4,348.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.