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Finding the Fourth Proportional to 4,229.33, 6,341.99 and 1,266.64

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Solution

The fourth proportional to 4,229.33, 6,341.99 and 1,266.64 is: 1,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.33 : 6,341.99 = 1,266.64 : x
  2. Step 2: Convert to fraction form
    4,229.33/6,341.99 = 1,266.64/x
  3. Step 3: Cross multiply
    4,229.33x = 6,341.99 × 1,266.64
  4. Step 4: Simplify right side
    4,229.33x = 8,033,005.53
  5. Step 5: Solve for x
    x = 8,033,005.53/4,229.33
  6. Step 6: Final answer
    x = 1,899.36

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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.