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Finding the Fourth Proportional to 4,941.34, 6,819 and 2,703.22

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Solution

The fourth proportional to 4,941.34, 6,819 and 2,703.22 is: 3,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.34 : 6,819 = 2,703.22 : x
  2. Step 2: Convert to fraction form
    4,941.34/6,819 = 2,703.22/x
  3. Step 3: Cross multiply
    4,941.34x = 6,819 × 2,703.22
  4. Step 4: Simplify right side
    4,941.34x = 18,433,257.18
  5. Step 5: Solve for x
    x = 18,433,257.18/4,941.34
  6. Step 6: Final answer
    x = 3,730.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.