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Finding the Fourth Proportional to 5,465.70, 7,542.38 and 3,107.69

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Solution

The fourth proportional to 5,465.70, 7,542.38 and 3,107.69 is: 4,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.70 : 7,542.38 = 3,107.69 : x
  2. Step 2: Convert to fraction form
    5,465.70/7,542.38 = 3,107.69/x
  3. Step 3: Cross multiply
    5,465.70x = 7,542.38 × 3,107.69
  4. Step 4: Simplify right side
    5,465.70x = 23,439,378.90
  5. Step 5: Solve for x
    x = 23,439,378.90/5,465.70
  6. Step 6: Final answer
    x = 4,288.45

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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.