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Finding the Fourth Proportional to 4,199.57, 5,796.11 and 2,432.25

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Solution

The fourth proportional to 4,199.57, 5,796.11 and 2,432.25 is: 3,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.57 : 5,796.11 = 2,432.25 : x
  2. Step 2: Convert to fraction form
    4,199.57/5,796.11 = 2,432.25/x
  3. Step 3: Cross multiply
    4,199.57x = 5,796.11 × 2,432.25
  4. Step 4: Simplify right side
    4,199.57x = 14,097,559.57
  5. Step 5: Solve for x
    x = 14,097,559.57/4,199.57
  6. Step 6: Final answer
    x = 3,356.91

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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.