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Finding the Fourth Proportional to 4,949.84, 6,831.60 and 3,768.68

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Solution

The fourth proportional to 4,949.84, 6,831.60 and 3,768.68 is: 5,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.84 : 6,831.60 = 3,768.68 : x
  2. Step 2: Convert to fraction form
    4,949.84/6,831.60 = 3,768.68/x
  3. Step 3: Cross multiply
    4,949.84x = 6,831.60 × 3,768.68
  4. Step 4: Simplify right side
    4,949.84x = 25,746,114.29
  5. Step 5: Solve for x
    x = 25,746,114.29/4,949.84
  6. Step 6: Final answer
    x = 5,201.40

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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.