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Finding the Fourth Proportional to 5,194.32, 7,788.32 and 2,074.80

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Solution

The fourth proportional to 5,194.32, 7,788.32 and 2,074.80 is: 3,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.32 : 7,788.32 = 2,074.80 : x
  2. Step 2: Convert to fraction form
    5,194.32/7,788.32 = 2,074.80/x
  3. Step 3: Cross multiply
    5,194.32x = 7,788.32 × 2,074.80
  4. Step 4: Simplify right side
    5,194.32x = 16,159,206.34
  5. Step 5: Solve for x
    x = 16,159,206.34/5,194.32
  6. Step 6: Final answer
    x = 3,110.94

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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.