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Finding the Fourth Proportional to 3,459.36, 5,186.64 and 1,704.72

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Solution

The fourth proportional to 3,459.36, 5,186.64 and 1,704.72 is: 2,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.36 : 5,186.64 = 1,704.72 : x
  2. Step 2: Convert to fraction form
    3,459.36/5,186.64 = 1,704.72/x
  3. Step 3: Cross multiply
    3,459.36x = 5,186.64 × 1,704.72
  4. Step 4: Simplify right side
    3,459.36x = 8,841,768.94
  5. Step 5: Solve for x
    x = 8,841,768.94/3,459.36
  6. Step 6: Final answer
    x = 2,555.90

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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.