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Finding the Fourth Proportional to 4,707.72, 7,063.20 and 2,074.41

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Solution

The fourth proportional to 4,707.72, 7,063.20 and 2,074.41 is: 3,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.72 : 7,063.20 = 2,074.41 : x
  2. Step 2: Convert to fraction form
    4,707.72/7,063.20 = 2,074.41/x
  3. Step 3: Cross multiply
    4,707.72x = 7,063.20 × 2,074.41
  4. Step 4: Simplify right side
    4,707.72x = 14,651,972.71
  5. Step 5: Solve for x
    x = 14,651,972.71/4,707.72
  6. Step 6: Final answer
    x = 3,112.33

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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.