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Finding the Fourth Proportional to 4,607.03, 6,906.05 and 1,975.22

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Solution

The fourth proportional to 4,607.03, 6,906.05 and 1,975.22 is: 2,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.03 : 6,906.05 = 1,975.22 : x
  2. Step 2: Convert to fraction form
    4,607.03/6,906.05 = 1,975.22/x
  3. Step 3: Cross multiply
    4,607.03x = 6,906.05 × 1,975.22
  4. Step 4: Simplify right side
    4,607.03x = 13,640,923.67
  5. Step 5: Solve for x
    x = 13,640,923.67/4,607.03
  6. Step 6: Final answer
    x = 2,960.90

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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.