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Finding the Fourth Proportional to 3,457.55, 5,187.63 and 1,267.78

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Solution

The fourth proportional to 3,457.55, 5,187.63 and 1,267.78 is: 1,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.55 : 5,187.63 = 1,267.78 : x
  2. Step 2: Convert to fraction form
    3,457.55/5,187.63 = 1,267.78/x
  3. Step 3: Cross multiply
    3,457.55x = 5,187.63 × 1,267.78
  4. Step 4: Simplify right side
    3,457.55x = 6,576,773.56
  5. Step 5: Solve for x
    x = 6,576,773.56/3,457.55
  6. Step 6: Final answer
    x = 1,902.15

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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.