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Finding the Fourth Proportional to 5,297.31, 7,306.97 and 3,411.36

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Solution

The fourth proportional to 5,297.31, 7,306.97 and 3,411.36 is: 4,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.31 : 7,306.97 = 3,411.36 : x
  2. Step 2: Convert to fraction form
    5,297.31/7,306.97 = 3,411.36/x
  3. Step 3: Cross multiply
    5,297.31x = 7,306.97 × 3,411.36
  4. Step 4: Simplify right side
    5,297.31x = 24,926,688.12
  5. Step 5: Solve for x
    x = 24,926,688.12/5,297.31
  6. Step 6: Final answer
    x = 4,705.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.