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Finding the Fourth Proportional to 4,813.66, 7,216.16 and 1,734.94

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Solution

The fourth proportional to 4,813.66, 7,216.16 and 1,734.94 is: 2,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.66 : 7,216.16 = 1,734.94 : x
  2. Step 2: Convert to fraction form
    4,813.66/7,216.16 = 1,734.94/x
  3. Step 3: Cross multiply
    4,813.66x = 7,216.16 × 1,734.94
  4. Step 4: Simplify right side
    4,813.66x = 12,519,604.63
  5. Step 5: Solve for x
    x = 12,519,604.63/4,813.66
  6. Step 6: Final answer
    x = 2,600.85

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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.