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Finding the Fourth Proportional to 5,767.16, 7,958.68 and 3,114.57

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Solution

The fourth proportional to 5,767.16, 7,958.68 and 3,114.57 is: 4,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.16 : 7,958.68 = 3,114.57 : x
  2. Step 2: Convert to fraction form
    5,767.16/7,958.68 = 3,114.57/x
  3. Step 3: Cross multiply
    5,767.16x = 7,958.68 × 3,114.57
  4. Step 4: Simplify right side
    5,767.16x = 24,787,873.75
  5. Step 5: Solve for x
    x = 24,787,873.75/5,767.16
  6. Step 6: Final answer
    x = 4,298.11

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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.