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Finding the Fourth Proportional to 4,051.53, 6,064.74 and 2,198.05

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Solution

The fourth proportional to 4,051.53, 6,064.74 and 2,198.05 is: 3,290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.53 : 6,064.74 = 2,198.05 : x
  2. Step 2: Convert to fraction form
    4,051.53/6,064.74 = 2,198.05/x
  3. Step 3: Cross multiply
    4,051.53x = 6,064.74 × 2,198.05
  4. Step 4: Simplify right side
    4,051.53x = 13,330,586.60
  5. Step 5: Solve for x
    x = 13,330,586.60/4,051.53
  6. Step 6: Final answer
    x = 3,290.26

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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.