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Finding the Fourth Proportional to 3,546.31, 5,320.22 and 1,206.21

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Solution

The fourth proportional to 3,546.31, 5,320.22 and 1,206.21 is: 1,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.31 : 5,320.22 = 1,206.21 : x
  2. Step 2: Convert to fraction form
    3,546.31/5,320.22 = 1,206.21/x
  3. Step 3: Cross multiply
    3,546.31x = 5,320.22 × 1,206.21
  4. Step 4: Simplify right side
    3,546.31x = 6,417,302.57
  5. Step 5: Solve for x
    x = 6,417,302.57/3,546.31
  6. Step 6: Final answer
    x = 1,809.57

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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.