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Finding the Fourth Proportional to 4,628.29, 6,942.90 and 1,706.22

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Solution

The fourth proportional to 4,628.29, 6,942.90 and 1,706.22 is: 2,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.29 : 6,942.90 = 1,706.22 : x
  2. Step 2: Convert to fraction form
    4,628.29/6,942.90 = 1,706.22/x
  3. Step 3: Cross multiply
    4,628.29x = 6,942.90 × 1,706.22
  4. Step 4: Simplify right side
    4,628.29x = 11,846,114.84
  5. Step 5: Solve for x
    x = 11,846,114.84/4,628.29
  6. Step 6: Final answer
    x = 2,559.50

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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.