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Finding the Fourth Proportional to 4,148.69, 6,223.12 and 1,338.06

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Solution

The fourth proportional to 4,148.69, 6,223.12 and 1,338.06 is: 2,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.69 : 6,223.12 = 1,338.06 : x
  2. Step 2: Convert to fraction form
    4,148.69/6,223.12 = 1,338.06/x
  3. Step 3: Cross multiply
    4,148.69x = 6,223.12 × 1,338.06
  4. Step 4: Simplify right side
    4,148.69x = 8,326,882.30
  5. Step 5: Solve for x
    x = 8,326,882.30/4,148.69
  6. Step 6: Final answer
    x = 2,007.11

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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.