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Finding the Fourth Proportional to 3,459.90, 5,189.58 and 1,610.58

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Solution

The fourth proportional to 3,459.90, 5,189.58 and 1,610.58 is: 2,415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.90 : 5,189.58 = 1,610.58 : x
  2. Step 2: Convert to fraction form
    3,459.90/5,189.58 = 1,610.58/x
  3. Step 3: Cross multiply
    3,459.90x = 5,189.58 × 1,610.58
  4. Step 4: Simplify right side
    3,459.90x = 8,358,233.76
  5. Step 5: Solve for x
    x = 8,358,233.76/3,459.90
  6. Step 6: Final answer
    x = 2,415.74

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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.