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Finding the Fourth Proportional to 3,456.76, 5,185.03 and 859.69

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Solution

The fourth proportional to 3,456.76, 5,185.03 and 859.69 is: 1,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.76 : 5,185.03 = 859.69 : x
  2. Step 2: Convert to fraction form
    3,456.76/5,185.03 = 859.69/x
  3. Step 3: Cross multiply
    3,456.76x = 5,185.03 × 859.69
  4. Step 4: Simplify right side
    3,456.76x = 4,457,518.44
  5. Step 5: Solve for x
    x = 4,457,518.44/3,456.76
  6. Step 6: Final answer
    x = 1,289.51

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1.5x scale

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.