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Finding the Fourth Proportional to 4,193.70, 6,302.70 and 3,659.10

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Solution

The fourth proportional to 4,193.70, 6,302.70 and 3,659.10 is: 5,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.70 : 6,302.70 = 3,659.10 : x
  2. Step 2: Convert to fraction form
    4,193.70/6,302.70 = 3,659.10/x
  3. Step 3: Cross multiply
    4,193.70x = 6,302.70 × 3,659.10
  4. Step 4: Simplify right side
    4,193.70x = 23,062,209.57
  5. Step 5: Solve for x
    x = 23,062,209.57/4,193.70
  6. Step 6: Final answer
    x = 5,499.25

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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.