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Finding the Fourth Proportional to 4,228.59, 6,340.19 and 3,709.63

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Solution

The fourth proportional to 4,228.59, 6,340.19 and 3,709.63 is: 5,562.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,228.59 : 6,340.19 = 3,709.63 : x
  2. Step 2: Convert to fraction form
    4,228.59/6,340.19 = 3,709.63/x
  3. Step 3: Cross multiply
    4,228.59x = 6,340.19 × 3,709.63
  4. Step 4: Simplify right side
    4,228.59x = 23,519,759.03
  5. Step 5: Solve for x
    x = 23,519,759.03/4,228.59
  6. Step 6: Final answer
    x = 5,562.08

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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.