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Finding the Fourth Proportional to 5,383.41, 7,429.12 and 3,144.88

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Solution

The fourth proportional to 5,383.41, 7,429.12 and 3,144.88 is: 4,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.41 : 7,429.12 = 3,144.88 : x
  2. Step 2: Convert to fraction form
    5,383.41/7,429.12 = 3,144.88/x
  3. Step 3: Cross multiply
    5,383.41x = 7,429.12 × 3,144.88
  4. Step 4: Simplify right side
    5,383.41x = 23,363,650.54
  5. Step 5: Solve for x
    x = 23,363,650.54/5,383.41
  6. Step 6: Final answer
    x = 4,339.93

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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.