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Finding the Fourth Proportional to 4,229.64, 5,835.96 and 2,551.32

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Solution

The fourth proportional to 4,229.64, 5,835.96 and 2,551.32 is: 3,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.64 : 5,835.96 = 2,551.32 : x
  2. Step 2: Convert to fraction form
    4,229.64/5,835.96 = 2,551.32/x
  3. Step 3: Cross multiply
    4,229.64x = 5,835.96 × 2,551.32
  4. Step 4: Simplify right side
    4,229.64x = 14,889,401.47
  5. Step 5: Solve for x
    x = 14,889,401.47/4,229.64
  6. Step 6: Final answer
    x = 3,520.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.