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Finding the Fourth Proportional to 3,757.93, 5,643.47 and 3,609.16

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Solution

The fourth proportional to 3,757.93, 5,643.47 and 3,609.16 is: 5,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.93 : 5,643.47 = 3,609.16 : x
  2. Step 2: Convert to fraction form
    3,757.93/5,643.47 = 3,609.16/x
  3. Step 3: Cross multiply
    3,757.93x = 5,643.47 × 3,609.16
  4. Step 4: Simplify right side
    3,757.93x = 20,368,181.10
  5. Step 5: Solve for x
    x = 20,368,181.10/3,757.93
  6. Step 6: Final answer
    x = 5,420.06

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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.