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Finding the Fourth Proportional to 3,412.67, 5,118.98 and 1,466.24

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Solution

The fourth proportional to 3,412.67, 5,118.98 and 1,466.24 is: 2,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.67 : 5,118.98 = 1,466.24 : x
  2. Step 2: Convert to fraction form
    3,412.67/5,118.98 = 1,466.24/x
  3. Step 3: Cross multiply
    3,412.67x = 5,118.98 × 1,466.24
  4. Step 4: Simplify right side
    3,412.67x = 7,505,620.31
  5. Step 5: Solve for x
    x = 7,505,620.31/3,412.67
  6. Step 6: Final answer
    x = 2,199.34

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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.