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Finding the Fourth Proportional to 3,459.58, 5,189.77 and 1,511.53

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Solution

The fourth proportional to 3,459.58, 5,189.77 and 1,511.53 is: 2,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.58 : 5,189.77 = 1,511.53 : x
  2. Step 2: Convert to fraction form
    3,459.58/5,189.77 = 1,511.53/x
  3. Step 3: Cross multiply
    3,459.58x = 5,189.77 × 1,511.53
  4. Step 4: Simplify right side
    3,459.58x = 7,844,481.96
  5. Step 5: Solve for x
    x = 7,844,481.96/3,459.58
  6. Step 6: Final answer
    x = 2,267.47

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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.