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Finding the Fourth Proportional to 4,199.76, 5,795.22 and 2,431.02

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Solution

The fourth proportional to 4,199.76, 5,795.22 and 2,431.02 is: 3,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.76 : 5,795.22 = 2,431.02 : x
  2. Step 2: Convert to fraction form
    4,199.76/5,795.22 = 2,431.02/x
  3. Step 3: Cross multiply
    4,199.76x = 5,795.22 × 2,431.02
  4. Step 4: Simplify right side
    4,199.76x = 14,088,295.72
  5. Step 5: Solve for x
    x = 14,088,295.72/4,199.76
  6. Step 6: Final answer
    x = 3,354.55

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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.