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Finding the Fourth Proportional to 4,007.68, 6,013.64 and 2,059.90

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Solution

The fourth proportional to 4,007.68, 6,013.64 and 2,059.90 is: 3,090.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.68 : 6,013.64 = 2,059.90 : x
  2. Step 2: Convert to fraction form
    4,007.68/6,013.64 = 2,059.90/x
  3. Step 3: Cross multiply
    4,007.68x = 6,013.64 × 2,059.90
  4. Step 4: Simplify right side
    4,007.68x = 12,387,487.15
  5. Step 5: Solve for x
    x = 12,387,487.15/4,007.68
  6. Step 6: Final answer
    x = 3,090.94

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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.