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Finding the Fourth Proportional to 5,837.09, 8,055.50 and 3,184.53

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Solution

The fourth proportional to 5,837.09, 8,055.50 and 3,184.53 is: 4,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.09 : 8,055.50 = 3,184.53 : x
  2. Step 2: Convert to fraction form
    5,837.09/8,055.50 = 3,184.53/x
  3. Step 3: Cross multiply
    5,837.09x = 8,055.50 × 3,184.53
  4. Step 4: Simplify right side
    5,837.09x = 25,652,965.49
  5. Step 5: Solve for x
    x = 25,652,965.49/5,837.09
  6. Step 6: Final answer
    x = 4,394.82

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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.