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Finding the Fourth Proportional to 5,097.84, 7,035.05 and 2,974.84

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Solution

The fourth proportional to 5,097.84, 7,035.05 and 2,974.84 is: 4,105.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.84 : 7,035.05 = 2,974.84 : x
  2. Step 2: Convert to fraction form
    5,097.84/7,035.05 = 2,974.84/x
  3. Step 3: Cross multiply
    5,097.84x = 7,035.05 × 2,974.84
  4. Step 4: Simplify right side
    5,097.84x = 20,928,133.27
  5. Step 5: Solve for x
    x = 20,928,133.27/5,097.84
  6. Step 6: Final answer
    x = 4,105.30

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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.