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Finding the Fourth Proportional to 3,807.74, 5,705.67 and 1,831.23

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Solution

The fourth proportional to 3,807.74, 5,705.67 and 1,831.23 is: 2,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.74 : 5,705.67 = 1,831.23 : x
  2. Step 2: Convert to fraction form
    3,807.74/5,705.67 = 1,831.23/x
  3. Step 3: Cross multiply
    3,807.74x = 5,705.67 × 1,831.23
  4. Step 4: Simplify right side
    3,807.74x = 10,448,394.07
  5. Step 5: Solve for x
    x = 10,448,394.07/3,807.74
  6. Step 6: Final answer
    x = 2,743.99

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Why These Related Problems?

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