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Finding the Fourth Proportional to 6,059.21, 8,362.09 and 3,406.78

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Solution

The fourth proportional to 6,059.21, 8,362.09 and 3,406.78 is: 4,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.21 : 8,362.09 = 3,406.78 : x
  2. Step 2: Convert to fraction form
    6,059.21/8,362.09 = 3,406.78/x
  3. Step 3: Cross multiply
    6,059.21x = 8,362.09 × 3,406.78
  4. Step 4: Simplify right side
    6,059.21x = 28,487,820.04
  5. Step 5: Solve for x
    x = 28,487,820.04/6,059.21
  6. Step 6: Final answer
    x = 4,701.58

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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.