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Finding the Fourth Proportional to 3,571.67, 5,363.45 and 2,409.16

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Solution

The fourth proportional to 3,571.67, 5,363.45 and 2,409.16 is: 3,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.67 : 5,363.45 = 2,409.16 : x
  2. Step 2: Convert to fraction form
    3,571.67/5,363.45 = 2,409.16/x
  3. Step 3: Cross multiply
    3,571.67x = 5,363.45 × 2,409.16
  4. Step 4: Simplify right side
    3,571.67x = 12,921,409.20
  5. Step 5: Solve for x
    x = 12,921,409.20/3,571.67
  6. Step 6: Final answer
    x = 3,617.75

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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.