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Finding the Fourth Proportional to 3,430.79, 5,146.17 and 833.75

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Solution

The fourth proportional to 3,430.79, 5,146.17 and 833.75 is: 1,250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.79 : 5,146.17 = 833.75 : x
  2. Step 2: Convert to fraction form
    3,430.79/5,146.17 = 833.75/x
  3. Step 3: Cross multiply
    3,430.79x = 5,146.17 × 833.75
  4. Step 4: Simplify right side
    3,430.79x = 4,290,619.24
  5. Step 5: Solve for x
    x = 4,290,619.24/3,430.79
  6. Step 6: Final answer
    x = 1,250.62

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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.