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Finding the Fourth Proportional to 3,831.34, 5,744.50 and 1,856.45

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Solution

The fourth proportional to 3,831.34, 5,744.50 and 1,856.45 is: 2,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.34 : 5,744.50 = 1,856.45 : x
  2. Step 2: Convert to fraction form
    3,831.34/5,744.50 = 1,856.45/x
  3. Step 3: Cross multiply
    3,831.34x = 5,744.50 × 1,856.45
  4. Step 4: Simplify right side
    3,831.34x = 10,664,377.03
  5. Step 5: Solve for x
    x = 10,664,377.03/3,831.34
  6. Step 6: Final answer
    x = 2,783.46

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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.