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Finding the Fourth Proportional to 5,831.09, 8,046.84 and 3,178.44

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Solution

The fourth proportional to 5,831.09, 8,046.84 and 3,178.44 is: 4,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.09 : 8,046.84 = 3,178.44 : x
  2. Step 2: Convert to fraction form
    5,831.09/8,046.84 = 3,178.44/x
  3. Step 3: Cross multiply
    5,831.09x = 8,046.84 × 3,178.44
  4. Step 4: Simplify right side
    5,831.09x = 25,576,377.08
  5. Step 5: Solve for x
    x = 25,576,377.08/5,831.09
  6. Step 6: Final answer
    x = 4,386.21

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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.