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Finding the Fourth Proportional to 5,665.05, 7,814.75 and 3,425.67

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Solution

The fourth proportional to 5,665.05, 7,814.75 and 3,425.67 is: 4,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.05 : 7,814.75 = 3,425.67 : x
  2. Step 2: Convert to fraction form
    5,665.05/7,814.75 = 3,425.67/x
  3. Step 3: Cross multiply
    5,665.05x = 7,814.75 × 3,425.67
  4. Step 4: Simplify right side
    5,665.05x = 26,770,737.50
  5. Step 5: Solve for x
    x = 26,770,737.50/5,665.05
  6. Step 6: Final answer
    x = 4,725.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.