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Finding the Fourth Proportional to 3,459.91, 5,185.41 and 1,266.03

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Solution

The fourth proportional to 3,459.91, 5,185.41 and 1,266.03 is: 1,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.91 : 5,185.41 = 1,266.03 : x
  2. Step 2: Convert to fraction form
    3,459.91/5,185.41 = 1,266.03/x
  3. Step 3: Cross multiply
    3,459.91x = 5,185.41 × 1,266.03
  4. Step 4: Simplify right side
    3,459.91x = 6,564,884.62
  5. Step 5: Solve for x
    x = 6,564,884.62/3,459.91
  6. Step 6: Final answer
    x = 1,897.41

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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.