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Finding the Fourth Proportional to 4,457.46, 6,691.23 and 2,814.94

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Solution

The fourth proportional to 4,457.46, 6,691.23 and 2,814.94 is: 4,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.46 : 6,691.23 = 2,814.94 : x
  2. Step 2: Convert to fraction form
    4,457.46/6,691.23 = 2,814.94/x
  3. Step 3: Cross multiply
    4,457.46x = 6,691.23 × 2,814.94
  4. Step 4: Simplify right side
    4,457.46x = 18,835,394.25
  5. Step 5: Solve for x
    x = 18,835,394.25/4,457.46
  6. Step 6: Final answer
    x = 4,225.59

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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.