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Finding the Fourth Proportional to 6,057.40, 9,091.86 and 3,137.80

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Solution

The fourth proportional to 6,057.40, 9,091.86 and 3,137.80 is: 4,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.40 : 9,091.86 = 3,137.80 : x
  2. Step 2: Convert to fraction form
    6,057.40/9,091.86 = 3,137.80/x
  3. Step 3: Cross multiply
    6,057.40x = 9,091.86 × 3,137.80
  4. Step 4: Simplify right side
    6,057.40x = 28,528,438.31
  5. Step 5: Solve for x
    x = 28,528,438.31/6,057.40
  6. Step 6: Final answer
    x = 4,709.68

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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.