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Finding the Fourth Proportional to 3,806.33, 5,708.48 and 1,307.48

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Solution

The fourth proportional to 3,806.33, 5,708.48 and 1,307.48 is: 1,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.33 : 5,708.48 = 1,307.48 : x
  2. Step 2: Convert to fraction form
    3,806.33/5,708.48 = 1,307.48/x
  3. Step 3: Cross multiply
    3,806.33x = 5,708.48 × 1,307.48
  4. Step 4: Simplify right side
    3,806.33x = 7,463,688.35
  5. Step 5: Solve for x
    x = 7,463,688.35/3,806.33
  6. Step 6: Final answer
    x = 1,960.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.