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Finding the Fourth Proportional to 4,140.08, 6,208.17 and 1,505.73

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Solution

The fourth proportional to 4,140.08, 6,208.17 and 1,505.73 is: 2,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.08 : 6,208.17 = 1,505.73 : x
  2. Step 2: Convert to fraction form
    4,140.08/6,208.17 = 1,505.73/x
  3. Step 3: Cross multiply
    4,140.08x = 6,208.17 × 1,505.73
  4. Step 4: Simplify right side
    4,140.08x = 9,347,810.53
  5. Step 5: Solve for x
    x = 9,347,810.53/4,140.08
  6. Step 6: Final answer
    x = 2,257.88

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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.