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Finding the Fourth Proportional to 4,708.35, 7,059.75 and 1,786.86

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Solution

The fourth proportional to 4,708.35, 7,059.75 and 1,786.86 is: 2,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.35 : 7,059.75 = 1,786.86 : x
  2. Step 2: Convert to fraction form
    4,708.35/7,059.75 = 1,786.86/x
  3. Step 3: Cross multiply
    4,708.35x = 7,059.75 × 1,786.86
  4. Step 4: Simplify right side
    4,708.35x = 12,614,784.89
  5. Step 5: Solve for x
    x = 12,614,784.89/4,708.35
  6. Step 6: Final answer
    x = 2,679.24

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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.