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Finding the Fourth Proportional to 5,849.39, 8,069.76 and 4,252.54

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Solution

The fourth proportional to 5,849.39, 8,069.76 and 4,252.54 is: 5,866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.39 : 8,069.76 = 4,252.54 : x
  2. Step 2: Convert to fraction form
    5,849.39/8,069.76 = 4,252.54/x
  3. Step 3: Cross multiply
    5,849.39x = 8,069.76 × 4,252.54
  4. Step 4: Simplify right side
    5,849.39x = 34,316,978.74
  5. Step 5: Solve for x
    x = 34,316,978.74/5,849.39
  6. Step 6: Final answer
    x = 5,866.76

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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.