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Finding the Fourth Proportional to 3,323.35, 4,586.42 and 1,831.27

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Solution

The fourth proportional to 3,323.35, 4,586.42 and 1,831.27 is: 2,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.35 : 4,586.42 = 1,831.27 : x
  2. Step 2: Convert to fraction form
    3,323.35/4,586.42 = 1,831.27/x
  3. Step 3: Cross multiply
    3,323.35x = 4,586.42 × 1,831.27
  4. Step 4: Simplify right side
    3,323.35x = 8,398,961.30
  5. Step 5: Solve for x
    x = 8,398,961.30/3,323.35
  6. Step 6: Final answer
    x = 2,527.26

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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.