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Finding the Fourth Proportional to 4,165.29, 6,248.97 and 1,243.62

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Solution

The fourth proportional to 4,165.29, 6,248.97 and 1,243.62 is: 1,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.29 : 6,248.97 = 1,243.62 : x
  2. Step 2: Convert to fraction form
    4,165.29/6,248.97 = 1,243.62/x
  3. Step 3: Cross multiply
    4,165.29x = 6,248.97 × 1,243.62
  4. Step 4: Simplify right side
    4,165.29x = 7,771,344.07
  5. Step 5: Solve for x
    x = 7,771,344.07/4,165.29
  6. Step 6: Final answer
    x = 1,865.74

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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.