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Finding the Fourth Proportional to 3,561.92, 5,346.64 and 2,003.26

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Solution

The fourth proportional to 3,561.92, 5,346.64 and 2,003.26 is: 3,007.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.92 : 5,346.64 = 2,003.26 : x
  2. Step 2: Convert to fraction form
    3,561.92/5,346.64 = 2,003.26/x
  3. Step 3: Cross multiply
    3,561.92x = 5,346.64 × 2,003.26
  4. Step 4: Simplify right side
    3,561.92x = 10,710,683.31
  5. Step 5: Solve for x
    x = 10,710,683.31/3,561.92
  6. Step 6: Final answer
    x = 3,007.00

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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.