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Finding the Fourth Proportional to 4,708.74, 7,063.86 and 1,589.03

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Solution

The fourth proportional to 4,708.74, 7,063.86 and 1,589.03 is: 2,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.74 : 7,063.86 = 1,589.03 : x
  2. Step 2: Convert to fraction form
    4,708.74/7,063.86 = 1,589.03/x
  3. Step 3: Cross multiply
    4,708.74x = 7,063.86 × 1,589.03
  4. Step 4: Simplify right side
    4,708.74x = 11,224,650.14
  5. Step 5: Solve for x
    x = 11,224,650.14/4,708.74
  6. Step 6: Final answer
    x = 2,383.79

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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.