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Finding the Fourth Proportional to 5,297.10, 7,906.40 and 4,674.40

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Solution

The fourth proportional to 5,297.10, 7,906.40 and 4,674.40 is: 6,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.10 : 7,906.40 = 4,674.40 : x
  2. Step 2: Convert to fraction form
    5,297.10/7,906.40 = 4,674.40/x
  3. Step 3: Cross multiply
    5,297.10x = 7,906.40 × 4,674.40
  4. Step 4: Simplify right side
    5,297.10x = 36,957,676.16
  5. Step 5: Solve for x
    x = 36,957,676.16/5,297.10
  6. Step 6: Final answer
    x = 6,976.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.