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Finding the Fourth Proportional to 3,546.32, 5,319.30 and 1,206.22

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Solution

The fourth proportional to 3,546.32, 5,319.30 and 1,206.22 is: 1,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.32 : 5,319.30 = 1,206.22 : x
  2. Step 2: Convert to fraction form
    3,546.32/5,319.30 = 1,206.22/x
  3. Step 3: Cross multiply
    3,546.32x = 5,319.30 × 1,206.22
  4. Step 4: Simplify right side
    3,546.32x = 6,416,246.05
  5. Step 5: Solve for x
    x = 6,416,246.05/3,546.32
  6. Step 6: Final answer
    x = 1,809.27

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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.