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Finding the Fourth Proportional to 3,664.19, 5,493 and 1,322.57

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Solution

The fourth proportional to 3,664.19, 5,493 and 1,322.57 is: 1,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.19 : 5,493 = 1,322.57 : x
  2. Step 2: Convert to fraction form
    3,664.19/5,493 = 1,322.57/x
  3. Step 3: Cross multiply
    3,664.19x = 5,493 × 1,322.57
  4. Step 4: Simplify right side
    3,664.19x = 7,264,877.01
  5. Step 5: Solve for x
    x = 7,264,877.01/3,664.19
  6. Step 6: Final answer
    x = 1,982.67

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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.