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Finding the Fourth Proportional to 5,668.47, 7,822.35 and 3,150.44

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Solution

The fourth proportional to 5,668.47, 7,822.35 and 3,150.44 is: 4,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.47 : 7,822.35 = 3,150.44 : x
  2. Step 2: Convert to fraction form
    5,668.47/7,822.35 = 3,150.44/x
  3. Step 3: Cross multiply
    5,668.47x = 7,822.35 × 3,150.44
  4. Step 4: Simplify right side
    5,668.47x = 24,643,805.22
  5. Step 5: Solve for x
    x = 24,643,805.22/5,668.47
  6. Step 6: Final answer
    x = 4,347.52

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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.