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Finding the Fourth Proportional to 5,160.42, 7,741.19 and 1,697.66

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Solution

The fourth proportional to 5,160.42, 7,741.19 and 1,697.66 is: 2,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.42 : 7,741.19 = 1,697.66 : x
  2. Step 2: Convert to fraction form
    5,160.42/7,741.19 = 1,697.66/x
  3. Step 3: Cross multiply
    5,160.42x = 7,741.19 × 1,697.66
  4. Step 4: Simplify right side
    5,160.42x = 13,141,908.62
  5. Step 5: Solve for x
    x = 13,141,908.62/5,160.42
  6. Step 6: Final answer
    x = 2,546.67

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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.