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Finding the Fourth Proportional to 5,767.94, 7,956.74 and 3,642.70

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Solution

The fourth proportional to 5,767.94, 7,956.74 and 3,642.70 is: 5,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.94 : 7,956.74 = 3,642.70 : x
  2. Step 2: Convert to fraction form
    5,767.94/7,956.74 = 3,642.70/x
  3. Step 3: Cross multiply
    5,767.94x = 7,956.74 × 3,642.70
  4. Step 4: Simplify right side
    5,767.94x = 28,984,016.80
  5. Step 5: Solve for x
    x = 28,984,016.80/5,767.94
  6. Step 6: Final answer
    x = 5,025.02

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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.