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Finding the Fourth Proportional to 4,821.98, 6,654.69 and 2,831.81

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Solution

The fourth proportional to 4,821.98, 6,654.69 and 2,831.81 is: 3,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.98 : 6,654.69 = 2,831.81 : x
  2. Step 2: Convert to fraction form
    4,821.98/6,654.69 = 2,831.81/x
  3. Step 3: Cross multiply
    4,821.98x = 6,654.69 × 2,831.81
  4. Step 4: Simplify right side
    4,821.98x = 18,844,784.42
  5. Step 5: Solve for x
    x = 18,844,784.42/4,821.98
  6. Step 6: Final answer
    x = 3,908.10

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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.