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Finding the Fourth Proportional to 4,659.62, 6,986.99 and 1,735.52

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Solution

The fourth proportional to 4,659.62, 6,986.99 and 1,735.52 is: 2,602.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.62 : 6,986.99 = 1,735.52 : x
  2. Step 2: Convert to fraction form
    4,659.62/6,986.99 = 1,735.52/x
  3. Step 3: Cross multiply
    4,659.62x = 6,986.99 × 1,735.52
  4. Step 4: Simplify right side
    4,659.62x = 12,126,025.95
  5. Step 5: Solve for x
    x = 12,126,025.95/4,659.62
  6. Step 6: Final answer
    x = 2,602.37

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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.