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Finding the Fourth Proportional to 4,604.84, 6,906.95 and 1,972.34

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Solution

The fourth proportional to 4,604.84, 6,906.95 and 1,972.34 is: 2,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.84 : 6,906.95 = 1,972.34 : x
  2. Step 2: Convert to fraction form
    4,604.84/6,906.95 = 1,972.34/x
  3. Step 3: Cross multiply
    4,604.84x = 6,906.95 × 1,972.34
  4. Step 4: Simplify right side
    4,604.84x = 13,622,853.76
  5. Step 5: Solve for x
    x = 13,622,853.76/4,604.84
  6. Step 6: Final answer
    x = 2,958.38

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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.