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Finding the Fourth Proportional to 4,123.57, 6,185.90 and 1,349.27

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Solution

The fourth proportional to 4,123.57, 6,185.90 and 1,349.27 is: 2,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.57 : 6,185.90 = 1,349.27 : x
  2. Step 2: Convert to fraction form
    4,123.57/6,185.90 = 1,349.27/x
  3. Step 3: Cross multiply
    4,123.57x = 6,185.90 × 1,349.27
  4. Step 4: Simplify right side
    4,123.57x = 8,346,449.29
  5. Step 5: Solve for x
    x = 8,346,449.29/4,123.57
  6. Step 6: Final answer
    x = 2,024.08

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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.