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Finding the Fourth Proportional to 6,057.10, 8,356.23 and 3,697.88

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Solution

The fourth proportional to 6,057.10, 8,356.23 and 3,697.88 is: 5,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.10 : 8,356.23 = 3,697.88 : x
  2. Step 2: Convert to fraction form
    6,057.10/8,356.23 = 3,697.88/x
  3. Step 3: Cross multiply
    6,057.10x = 8,356.23 × 3,697.88
  4. Step 4: Simplify right side
    6,057.10x = 30,900,294.01
  5. Step 5: Solve for x
    x = 30,900,294.01/6,057.10
  6. Step 6: Final answer
    x = 5,101.50

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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.