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Finding the Fourth Proportional to 5,841.49, 8,055.16 and 3,849.52

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Solution

The fourth proportional to 5,841.49, 8,055.16 and 3,849.52 is: 5,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.49 : 8,055.16 = 3,849.52 : x
  2. Step 2: Convert to fraction form
    5,841.49/8,055.16 = 3,849.52/x
  3. Step 3: Cross multiply
    5,841.49x = 8,055.16 × 3,849.52
  4. Step 4: Simplify right side
    5,841.49x = 31,008,499.52
  5. Step 5: Solve for x
    x = 31,008,499.52/5,841.49
  6. Step 6: Final answer
    x = 5,308.32

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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.