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Finding the Fourth Proportional to 4,147.64, 6,223.08 and 1,550.78

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Solution

The fourth proportional to 4,147.64, 6,223.08 and 1,550.78 is: 2,326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.64 : 6,223.08 = 1,550.78 : x
  2. Step 2: Convert to fraction form
    4,147.64/6,223.08 = 1,550.78/x
  3. Step 3: Cross multiply
    4,147.64x = 6,223.08 × 1,550.78
  4. Step 4: Simplify right side
    4,147.64x = 9,650,628.00
  5. Step 5: Solve for x
    x = 9,650,628.00/4,147.64
  6. Step 6: Final answer
    x = 2,326.78

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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.