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Finding the Fourth Proportional to 6,899.42, 10,349.01 and 1,705.22

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Solution

The fourth proportional to 6,899.42, 10,349.01 and 1,705.22 is: 2,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.42 : 10,349.01 = 1,705.22 : x
  2. Step 2: Convert to fraction form
    6,899.42/10,349.01 = 1,705.22/x
  3. Step 3: Cross multiply
    6,899.42x = 10,349.01 × 1,705.22
  4. Step 4: Simplify right side
    6,899.42x = 17,647,338.83
  5. Step 5: Solve for x
    x = 17,647,338.83/6,899.42
  6. Step 6: Final answer
    x = 2,557.80

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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.