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Finding the Fourth Proportional to 4,706.86, 7,055.97 and 1,626.70

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Solution

The fourth proportional to 4,706.86, 7,055.97 and 1,626.70 is: 2,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.86 : 7,055.97 = 1,626.70 : x
  2. Step 2: Convert to fraction form
    4,706.86/7,055.97 = 1,626.70/x
  3. Step 3: Cross multiply
    4,706.86x = 7,055.97 × 1,626.70
  4. Step 4: Simplify right side
    4,706.86x = 11,477,976.07
  5. Step 5: Solve for x
    x = 11,477,976.07/4,706.86
  6. Step 6: Final answer
    x = 2,438.56

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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.