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Finding the Fourth Proportional to 5,700.96, 7,867.26 and 3,343.32

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Solution

The fourth proportional to 5,700.96, 7,867.26 and 3,343.32 is: 4,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.96 : 7,867.26 = 3,343.32 : x
  2. Step 2: Convert to fraction form
    5,700.96/7,867.26 = 3,343.32/x
  3. Step 3: Cross multiply
    5,700.96x = 7,867.26 × 3,343.32
  4. Step 4: Simplify right side
    5,700.96x = 26,302,767.70
  5. Step 5: Solve for x
    x = 26,302,767.70/5,700.96
  6. Step 6: Final answer
    x = 4,613.74

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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.