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Finding the Fourth Proportional to 5,513.81, 7,609.06 and 3,029.81

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Solution

The fourth proportional to 5,513.81, 7,609.06 and 3,029.81 is: 4,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.81 : 7,609.06 = 3,029.81 : x
  2. Step 2: Convert to fraction form
    5,513.81/7,609.06 = 3,029.81/x
  3. Step 3: Cross multiply
    5,513.81x = 7,609.06 × 3,029.81
  4. Step 4: Simplify right side
    5,513.81x = 23,054,028.89
  5. Step 5: Solve for x
    x = 23,054,028.89/5,513.81
  6. Step 6: Final answer
    x = 4,181.14

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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.