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Finding the Fourth Proportional to 5,657.24, 7,804.14 and 3,791

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Solution

The fourth proportional to 5,657.24, 7,804.14 and 3,791 is: 5,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.24 : 7,804.14 = 3,791 : x
  2. Step 2: Convert to fraction form
    5,657.24/7,804.14 = 3,791/x
  3. Step 3: Cross multiply
    5,657.24x = 7,804.14 × 3,791
  4. Step 4: Simplify right side
    5,657.24x = 29,585,494.74
  5. Step 5: Solve for x
    x = 29,585,494.74/5,657.24
  6. Step 6: Final answer
    x = 5,229.67

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Why These Related Problems?

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