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Finding the Fourth Proportional to 3,487.42, 5,231.93 and 1,513.38

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Solution

The fourth proportional to 3,487.42, 5,231.93 and 1,513.38 is: 2,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.42 : 5,231.93 = 1,513.38 : x
  2. Step 2: Convert to fraction form
    3,487.42/5,231.93 = 1,513.38/x
  3. Step 3: Cross multiply
    3,487.42x = 5,231.93 × 1,513.38
  4. Step 4: Simplify right side
    3,487.42x = 7,917,898.22
  5. Step 5: Solve for x
    x = 7,917,898.22/3,487.42
  6. Step 6: Final answer
    x = 2,270.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.