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Finding the Fourth Proportional to 4,989.78, 6,884.73 and 3,000.42

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Solution

The fourth proportional to 4,989.78, 6,884.73 and 3,000.42 is: 4,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989.78 : 6,884.73 = 3,000.42 : x
  2. Step 2: Convert to fraction form
    4,989.78/6,884.73 = 3,000.42/x
  3. Step 3: Cross multiply
    4,989.78x = 6,884.73 × 3,000.42
  4. Step 4: Simplify right side
    4,989.78x = 20,657,081.59
  5. Step 5: Solve for x
    x = 20,657,081.59/4,989.78
  6. Step 6: Final answer
    x = 4,139.88

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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.