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Finding the Fourth Proportional to 3,430.37, 5,145.55 and 833.31

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Solution

The fourth proportional to 3,430.37, 5,145.55 and 833.31 is: 1,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.37 : 5,145.55 = 833.31 : x
  2. Step 2: Convert to fraction form
    3,430.37/5,145.55 = 833.31/x
  3. Step 3: Cross multiply
    3,430.37x = 5,145.55 × 833.31
  4. Step 4: Simplify right side
    3,430.37x = 4,287,812.54
  5. Step 5: Solve for x
    x = 4,287,812.54/3,430.37
  6. Step 6: Final answer
    x = 1,249.96

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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.