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Finding the Fourth Proportional to 4,149.64, 6,224.08 and 1,376.28

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Solution

The fourth proportional to 4,149.64, 6,224.08 and 1,376.28 is: 2,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.64 : 6,224.08 = 1,376.28 : x
  2. Step 2: Convert to fraction form
    4,149.64/6,224.08 = 1,376.28/x
  3. Step 3: Cross multiply
    4,149.64x = 6,224.08 × 1,376.28
  4. Step 4: Simplify right side
    4,149.64x = 8,566,076.82
  5. Step 5: Solve for x
    x = 8,566,076.82/4,149.64
  6. Step 6: Final answer
    x = 2,064.29

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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.