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Finding the Fourth Proportional to 5,849.20, 8,078.60 and 4,262.92

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Solution

The fourth proportional to 5,849.20, 8,078.60 and 4,262.92 is: 5,887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.20 : 8,078.60 = 4,262.92 : x
  2. Step 2: Convert to fraction form
    5,849.20/8,078.60 = 4,262.92/x
  3. Step 3: Cross multiply
    5,849.20x = 8,078.60 × 4,262.92
  4. Step 4: Simplify right side
    5,849.20x = 34,438,425.51
  5. Step 5: Solve for x
    x = 34,438,425.51/5,849.20
  6. Step 6: Final answer
    x = 5,887.72

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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.