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Finding the Fourth Proportional to 3,665.74, 5,492.84 and 2,834.84

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Solution

The fourth proportional to 3,665.74, 5,492.84 and 2,834.84 is: 4,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.74 : 5,492.84 = 2,834.84 : x
  2. Step 2: Convert to fraction form
    3,665.74/5,492.84 = 2,834.84/x
  3. Step 3: Cross multiply
    3,665.74x = 5,492.84 × 2,834.84
  4. Step 4: Simplify right side
    3,665.74x = 15,571,287.99
  5. Step 5: Solve for x
    x = 15,571,287.99/3,665.74
  6. Step 6: Final answer
    x = 4,247.79

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1.5x scale

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.