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Finding the Fourth Proportional to 4,199.93, 5,795.52 and 2,431.65

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Solution

The fourth proportional to 4,199.93, 5,795.52 and 2,431.65 is: 3,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.93 : 5,795.52 = 2,431.65 : x
  2. Step 2: Convert to fraction form
    4,199.93/5,795.52 = 2,431.65/x
  3. Step 3: Cross multiply
    4,199.93x = 5,795.52 × 2,431.65
  4. Step 4: Simplify right side
    4,199.93x = 14,092,676.21
  5. Step 5: Solve for x
    x = 14,092,676.21/4,199.93
  6. Step 6: Final answer
    x = 3,355.46

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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.