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Finding the Fourth Proportional to 3,459.25, 5,189.10 and 994.02

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Solution

The fourth proportional to 3,459.25, 5,189.10 and 994.02 is: 1,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.25 : 5,189.10 = 994.02 : x
  2. Step 2: Convert to fraction form
    3,459.25/5,189.10 = 994.02/x
  3. Step 3: Cross multiply
    3,459.25x = 5,189.10 × 994.02
  4. Step 4: Simplify right side
    3,459.25x = 5,158,038.27
  5. Step 5: Solve for x
    x = 5,158,038.27/3,459.25
  6. Step 6: Final answer
    x = 1,491.09

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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.