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Finding the Fourth Proportional to 3,457.31, 5,186.57 and 1,117.82

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Solution

The fourth proportional to 3,457.31, 5,186.57 and 1,117.82 is: 1,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.31 : 5,186.57 = 1,117.82 : x
  2. Step 2: Convert to fraction form
    3,457.31/5,186.57 = 1,117.82/x
  3. Step 3: Cross multiply
    3,457.31x = 5,186.57 × 1,117.82
  4. Step 4: Simplify right side
    3,457.31x = 5,797,659.05
  5. Step 5: Solve for x
    x = 5,797,659.05/3,457.31
  6. Step 6: Final answer
    x = 1,676.93

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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.