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Finding the Fourth Proportional to 4,297.86, 6,452.26 and 3,652.70

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Solution

The fourth proportional to 4,297.86, 6,452.26 and 3,652.70 is: 5,483.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.86 : 6,452.26 = 3,652.70 : x
  2. Step 2: Convert to fraction form
    4,297.86/6,452.26 = 3,652.70/x
  3. Step 3: Cross multiply
    4,297.86x = 6,452.26 × 3,652.70
  4. Step 4: Simplify right side
    4,297.86x = 23,568,128.71
  5. Step 5: Solve for x
    x = 23,568,128.71/4,297.86
  6. Step 6: Final answer
    x = 5,483.69

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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.