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Finding the Fourth Proportional to 6,059.25, 8,359.83 and 3,406.23

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Solution

The fourth proportional to 6,059.25, 8,359.83 and 3,406.23 is: 4,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.25 : 8,359.83 = 3,406.23 : x
  2. Step 2: Convert to fraction form
    6,059.25/8,359.83 = 3,406.23/x
  3. Step 3: Cross multiply
    6,059.25x = 8,359.83 × 3,406.23
  4. Step 4: Simplify right side
    6,059.25x = 28,475,503.74
  5. Step 5: Solve for x
    x = 28,475,503.74/6,059.25
  6. Step 6: Final answer
    x = 4,699.51

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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.