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Finding the Fourth Proportional to 5,386.53, 8,079.80 and 3,194.07

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Solution

The fourth proportional to 5,386.53, 8,079.80 and 3,194.07 is: 4,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.53 : 8,079.80 = 3,194.07 : x
  2. Step 2: Convert to fraction form
    5,386.53/8,079.80 = 3,194.07/x
  3. Step 3: Cross multiply
    5,386.53x = 8,079.80 × 3,194.07
  4. Step 4: Simplify right side
    5,386.53x = 25,807,430.82
  5. Step 5: Solve for x
    x = 25,807,430.82/5,386.53
  6. Step 6: Final answer
    x = 4,791.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.