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Finding the Fourth Proportional to 6,046.86, 9,059 and 3,820.90

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Solution

The fourth proportional to 6,046.86, 9,059 and 3,820.90 is: 5,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.86 : 9,059 = 3,820.90 : x
  2. Step 2: Convert to fraction form
    6,046.86/9,059 = 3,820.90/x
  3. Step 3: Cross multiply
    6,046.86x = 9,059 × 3,820.90
  4. Step 4: Simplify right side
    6,046.86x = 34,613,533.10
  5. Step 5: Solve for x
    x = 34,613,533.10/6,046.86
  6. Step 6: Final answer
    x = 5,724.22

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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.