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Finding the Fourth Proportional to 4,007.58, 5,996.34 and 2,777.40

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Solution

The fourth proportional to 4,007.58, 5,996.34 and 2,777.40 is: 4,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.58 : 5,996.34 = 2,777.40 : x
  2. Step 2: Convert to fraction form
    4,007.58/5,996.34 = 2,777.40/x
  3. Step 3: Cross multiply
    4,007.58x = 5,996.34 × 2,777.40
  4. Step 4: Simplify right side
    4,007.58x = 16,654,234.72
  5. Step 5: Solve for x
    x = 16,654,234.72/4,007.58
  6. Step 6: Final answer
    x = 4,155.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.