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Finding the Fourth Proportional to 3,457.58, 5,187.27 and 1,349.24

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Solution

The fourth proportional to 3,457.58, 5,187.27 and 1,349.24 is: 2,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.58 : 5,187.27 = 1,349.24 : x
  2. Step 2: Convert to fraction form
    3,457.58/5,187.27 = 1,349.24/x
  3. Step 3: Cross multiply
    3,457.58x = 5,187.27 × 1,349.24
  4. Step 4: Simplify right side
    3,457.58x = 6,998,846.24
  5. Step 5: Solve for x
    x = 6,998,846.24/3,457.58
  6. Step 6: Final answer
    x = 2,024.21

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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.