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Finding the Fourth Proportional to 5,097.62, 7,033.05 and 2,972.67

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Solution

The fourth proportional to 5,097.62, 7,033.05 and 2,972.67 is: 4,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.62 : 7,033.05 = 2,972.67 : x
  2. Step 2: Convert to fraction form
    5,097.62/7,033.05 = 2,972.67/x
  3. Step 3: Cross multiply
    5,097.62x = 7,033.05 × 2,972.67
  4. Step 4: Simplify right side
    5,097.62x = 20,906,936.74
  5. Step 5: Solve for x
    x = 20,906,936.74/5,097.62
  6. Step 6: Final answer
    x = 4,101.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.