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Finding the Fourth Proportional to 6,057.24, 8,357.94 and 3,404.60

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Solution

The fourth proportional to 6,057.24, 8,357.94 and 3,404.60 is: 4,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.24 : 8,357.94 = 3,404.60 : x
  2. Step 2: Convert to fraction form
    6,057.24/8,357.94 = 3,404.60/x
  3. Step 3: Cross multiply
    6,057.24x = 8,357.94 × 3,404.60
  4. Step 4: Simplify right side
    6,057.24x = 28,455,442.52
  5. Step 5: Solve for x
    x = 28,455,442.52/6,057.24
  6. Step 6: Final answer
    x = 4,697.76

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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.