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Finding the Fourth Proportional to 5,679.36, 7,834.38 and 5,310.48

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Solution

The fourth proportional to 5,679.36, 7,834.38 and 5,310.48 is: 7,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.36 : 7,834.38 = 5,310.48 : x
  2. Step 2: Convert to fraction form
    5,679.36/7,834.38 = 5,310.48/x
  3. Step 3: Cross multiply
    5,679.36x = 7,834.38 × 5,310.48
  4. Step 4: Simplify right side
    5,679.36x = 41,604,318.30
  5. Step 5: Solve for x
    x = 41,604,318.30/5,679.36
  6. Step 6: Final answer
    x = 7,325.53

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1.5x scale

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.