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Finding the Fourth Proportional to 3,457.91, 5,186.84 and 2,071.64

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Solution

The fourth proportional to 3,457.91, 5,186.84 and 2,071.64 is: 3,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.91 : 5,186.84 = 2,071.64 : x
  2. Step 2: Convert to fraction form
    3,457.91/5,186.84 = 2,071.64/x
  3. Step 3: Cross multiply
    3,457.91x = 5,186.84 × 2,071.64
  4. Step 4: Simplify right side
    3,457.91x = 10,745,228.93
  5. Step 5: Solve for x
    x = 10,745,228.93/3,457.91
  6. Step 6: Final answer
    x = 3,107.44

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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.