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Finding the Fourth Proportional to 5,668.58, 7,822.51 and 3,150.63

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Solution

The fourth proportional to 5,668.58, 7,822.51 and 3,150.63 is: 4,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.58 : 7,822.51 = 3,150.63 : x
  2. Step 2: Convert to fraction form
    5,668.58/7,822.51 = 3,150.63/x
  3. Step 3: Cross multiply
    5,668.58x = 7,822.51 × 3,150.63
  4. Step 4: Simplify right side
    5,668.58x = 24,645,826.80
  5. Step 5: Solve for x
    x = 24,645,826.80/5,668.58
  6. Step 6: Final answer
    x = 4,347.79

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