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Finding the Fourth Proportional to 4,199.34, 5,795.34 and 2,431.50

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Solution

The fourth proportional to 4,199.34, 5,795.34 and 2,431.50 is: 3,355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.34 : 5,795.34 = 2,431.50 : x
  2. Step 2: Convert to fraction form
    4,199.34/5,795.34 = 2,431.50/x
  3. Step 3: Cross multiply
    4,199.34x = 5,795.34 × 2,431.50
  4. Step 4: Simplify right side
    4,199.34x = 14,091,369.21
  5. Step 5: Solve for x
    x = 14,091,369.21/4,199.34
  6. Step 6: Final answer
    x = 3,355.62

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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.