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Finding the Fourth Proportional to 5,164.06, 7,744.93 and 1,466.21

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Solution

The fourth proportional to 5,164.06, 7,744.93 and 1,466.21 is: 2,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.06 : 7,744.93 = 1,466.21 : x
  2. Step 2: Convert to fraction form
    5,164.06/7,744.93 = 1,466.21/x
  3. Step 3: Cross multiply
    5,164.06x = 7,744.93 × 1,466.21
  4. Step 4: Simplify right side
    5,164.06x = 11,355,693.82
  5. Step 5: Solve for x
    x = 11,355,693.82/5,164.06
  6. Step 6: Final answer
    x = 2,198.99

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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.