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Finding the Fourth Proportional to 3,430.39, 5,145.58 and 833.33

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Solution

The fourth proportional to 3,430.39, 5,145.58 and 833.33 is: 1,249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.39 : 5,145.58 = 833.33 : x
  2. Step 2: Convert to fraction form
    3,430.39/5,145.58 = 833.33/x
  3. Step 3: Cross multiply
    3,430.39x = 5,145.58 × 833.33
  4. Step 4: Simplify right side
    3,430.39x = 4,287,936.29
  5. Step 5: Solve for x
    x = 4,287,936.29/3,430.39
  6. Step 6: Final answer
    x = 1,249.99

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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.