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Finding the Fourth Proportional to 3,806.10, 5,709 and 1,465.68

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Solution

The fourth proportional to 3,806.10, 5,709 and 1,465.68 is: 2,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.10 : 5,709 = 1,465.68 : x
  2. Step 2: Convert to fraction form
    3,806.10/5,709 = 1,465.68/x
  3. Step 3: Cross multiply
    3,806.10x = 5,709 × 1,465.68
  4. Step 4: Simplify right side
    3,806.10x = 8,367,567.12
  5. Step 5: Solve for x
    x = 8,367,567.12/3,806.10
  6. Step 6: Final answer
    x = 2,198.46

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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.