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Finding the Fourth Proportional to 3,457.66, 5,185.87 and 991.96

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Solution

The fourth proportional to 3,457.66, 5,185.87 and 991.96 is: 1,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.66 : 5,185.87 = 991.96 : x
  2. Step 2: Convert to fraction form
    3,457.66/5,185.87 = 991.96/x
  3. Step 3: Cross multiply
    3,457.66x = 5,185.87 × 991.96
  4. Step 4: Simplify right side
    3,457.66x = 5,144,175.61
  5. Step 5: Solve for x
    x = 5,144,175.61/3,457.66
  6. Step 6: Final answer
    x = 1,487.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.