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Finding the Fourth Proportional to 4,628.22, 6,942.64 and 1,706.72

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Solution

The fourth proportional to 4,628.22, 6,942.64 and 1,706.72 is: 2,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.22 : 6,942.64 = 1,706.72 : x
  2. Step 2: Convert to fraction form
    4,628.22/6,942.64 = 1,706.72/x
  3. Step 3: Cross multiply
    4,628.22x = 6,942.64 × 1,706.72
  4. Step 4: Simplify right side
    4,628.22x = 11,849,142.54
  5. Step 5: Solve for x
    x = 11,849,142.54/4,628.22
  6. Step 6: Final answer
    x = 2,560.19

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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.