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Finding the Fourth Proportional to 5,297.67, 7,942.05 and 3,345.57

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Solution

The fourth proportional to 5,297.67, 7,942.05 and 3,345.57 is: 5,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.67 : 7,942.05 = 3,345.57 : x
  2. Step 2: Convert to fraction form
    5,297.67/7,942.05 = 3,345.57/x
  3. Step 3: Cross multiply
    5,297.67x = 7,942.05 × 3,345.57
  4. Step 4: Simplify right side
    5,297.67x = 26,570,684.22
  5. Step 5: Solve for x
    x = 26,570,684.22/5,297.67
  6. Step 6: Final answer
    x = 5,015.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.