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Finding the Fourth Proportional to 3,830.99, 5,748.30 and 1,882.13

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Solution

The fourth proportional to 3,830.99, 5,748.30 and 1,882.13 is: 2,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.99 : 5,748.30 = 1,882.13 : x
  2. Step 2: Convert to fraction form
    3,830.99/5,748.30 = 1,882.13/x
  3. Step 3: Cross multiply
    3,830.99x = 5,748.30 × 1,882.13
  4. Step 4: Simplify right side
    3,830.99x = 10,819,019.14
  5. Step 5: Solve for x
    x = 10,819,019.14/3,830.99
  6. Step 6: Final answer
    x = 2,824.08

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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.