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Finding the Fourth Proportional to 4,556.34, 6,834.92 and 1,783.22

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Solution

The fourth proportional to 4,556.34, 6,834.92 and 1,783.22 is: 2,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.34 : 6,834.92 = 1,783.22 : x
  2. Step 2: Convert to fraction form
    4,556.34/6,834.92 = 1,783.22/x
  3. Step 3: Cross multiply
    4,556.34x = 6,834.92 × 1,783.22
  4. Step 4: Simplify right side
    4,556.34x = 12,188,122.95
  5. Step 5: Solve for x
    x = 12,188,122.95/4,556.34
  6. Step 6: Final answer
    x = 2,674.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.