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Finding the Fourth Proportional to 3,416.79, 4,715.21 and 2,000.17

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Solution

The fourth proportional to 3,416.79, 4,715.21 and 2,000.17 is: 2,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.79 : 4,715.21 = 2,000.17 : x
  2. Step 2: Convert to fraction form
    3,416.79/4,715.21 = 2,000.17/x
  3. Step 3: Cross multiply
    3,416.79x = 4,715.21 × 2,000.17
  4. Step 4: Simplify right side
    3,416.79x = 9,431,188.01
  5. Step 5: Solve for x
    x = 9,431,188.01/3,416.79
  6. Step 6: Final answer
    x = 2,760.25

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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.