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Finding the Fourth Proportional to 4,297.43, 6,445.87 and 2,564.75

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Solution

The fourth proportional to 4,297.43, 6,445.87 and 2,564.75 is: 3,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.43 : 6,445.87 = 2,564.75 : x
  2. Step 2: Convert to fraction form
    4,297.43/6,445.87 = 2,564.75/x
  3. Step 3: Cross multiply
    4,297.43x = 6,445.87 × 2,564.75
  4. Step 4: Simplify right side
    4,297.43x = 16,532,045.08
  5. Step 5: Solve for x
    x = 16,532,045.08/4,297.43
  6. Step 6: Final answer
    x = 3,846.96

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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.