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Finding the Fourth Proportional to 3,831.81, 5,283.88 and 2,698.67

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Solution

The fourth proportional to 3,831.81, 5,283.88 and 2,698.67 is: 3,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.81 : 5,283.88 = 2,698.67 : x
  2. Step 2: Convert to fraction form
    3,831.81/5,283.88 = 2,698.67/x
  3. Step 3: Cross multiply
    3,831.81x = 5,283.88 × 2,698.67
  4. Step 4: Simplify right side
    3,831.81x = 14,259,440.36
  5. Step 5: Solve for x
    x = 14,259,440.36/3,831.81
  6. Step 6: Final answer
    x = 3,721.34

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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.