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Finding the Fourth Proportional to 4,168.38, 6,253.53 and 1,828.38

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Solution

The fourth proportional to 4,168.38, 6,253.53 and 1,828.38 is: 2,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.38 : 6,253.53 = 1,828.38 : x
  2. Step 2: Convert to fraction form
    4,168.38/6,253.53 = 1,828.38/x
  3. Step 3: Cross multiply
    4,168.38x = 6,253.53 × 1,828.38
  4. Step 4: Simplify right side
    4,168.38x = 11,433,829.18
  5. Step 5: Solve for x
    x = 11,433,829.18/4,168.38
  6. Step 6: Final answer
    x = 2,742.99

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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.