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Finding the Fourth Proportional to 3,482.85, 5,224.03 and 1,634.38

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Solution

The fourth proportional to 3,482.85, 5,224.03 and 1,634.38 is: 2,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.85 : 5,224.03 = 1,634.38 : x
  2. Step 2: Convert to fraction form
    3,482.85/5,224.03 = 1,634.38/x
  3. Step 3: Cross multiply
    3,482.85x = 5,224.03 × 1,634.38
  4. Step 4: Simplify right side
    3,482.85x = 8,538,050.15
  5. Step 5: Solve for x
    x = 8,538,050.15/3,482.85
  6. Step 6: Final answer
    x = 2,451.46

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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.