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Finding the Fourth Proportional to 3,459.31, 5,190.00 and 1,611.52

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Solution

The fourth proportional to 3,459.31, 5,190.00 and 1,611.52 is: 2,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.31 : 5,190.00 = 1,611.52 : x
  2. Step 2: Convert to fraction form
    3,459.31/5,190.00 = 1,611.52/x
  3. Step 3: Cross multiply
    3,459.31x = 5,190.00 × 1,611.52
  4. Step 4: Simplify right side
    3,459.31x = 8,363,788.91
  5. Step 5: Solve for x
    x = 8,363,788.91/3,459.31
  6. Step 6: Final answer
    x = 2,417.76

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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.