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Finding the Fourth Proportional to 3,678.68, 5,076.51 and 2,000.12

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Solution

The fourth proportional to 3,678.68, 5,076.51 and 2,000.12 is: 2,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.68 : 5,076.51 = 2,000.12 : x
  2. Step 2: Convert to fraction form
    3,678.68/5,076.51 = 2,000.12/x
  3. Step 3: Cross multiply
    3,678.68x = 5,076.51 × 2,000.12
  4. Step 4: Simplify right side
    3,678.68x = 10,153,629.18
  5. Step 5: Solve for x
    x = 10,153,629.18/3,678.68
  6. Step 6: Final answer
    x = 2,760.13

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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.