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Finding the Fourth Proportional to 3,457.50, 5,186.52 and 1,266.18

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Solution

The fourth proportional to 3,457.50, 5,186.52 and 1,266.18 is: 1,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.50 : 5,186.52 = 1,266.18 : x
  2. Step 2: Convert to fraction form
    3,457.50/5,186.52 = 1,266.18/x
  3. Step 3: Cross multiply
    3,457.50x = 5,186.52 × 1,266.18
  4. Step 4: Simplify right side
    3,457.50x = 6,567,061.56
  5. Step 5: Solve for x
    x = 6,567,061.56/3,457.50
  6. Step 6: Final answer
    x = 1,899.37

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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.