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Finding the Fourth Proportional to 5,297.67, 7,946.37 and 2,526.30

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Solution

The fourth proportional to 5,297.67, 7,946.37 and 2,526.30 is: 3,789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.67 : 7,946.37 = 2,526.30 : x
  2. Step 2: Convert to fraction form
    5,297.67/7,946.37 = 2,526.30/x
  3. Step 3: Cross multiply
    5,297.67x = 7,946.37 × 2,526.30
  4. Step 4: Simplify right side
    5,297.67x = 20,074,914.53
  5. Step 5: Solve for x
    x = 20,074,914.53/5,297.67
  6. Step 6: Final answer
    x = 3,789.39

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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.