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Finding the Fourth Proportional to 5,668.55, 7,823.87 and 3,151.54

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Solution

The fourth proportional to 5,668.55, 7,823.87 and 3,151.54 is: 4,349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.55 : 7,823.87 = 3,151.54 : x
  2. Step 2: Convert to fraction form
    5,668.55/7,823.87 = 3,151.54/x
  3. Step 3: Cross multiply
    5,668.55x = 7,823.87 × 3,151.54
  4. Step 4: Simplify right side
    5,668.55x = 24,657,239.26
  5. Step 5: Solve for x
    x = 24,657,239.26/5,668.55
  6. Step 6: Final answer
    x = 4,349.83

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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.