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Finding the Fourth Proportional to 3,798.99, 5,244.26 and 2,307.38

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Solution

The fourth proportional to 3,798.99, 5,244.26 and 2,307.38 is: 3,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.99 : 5,244.26 = 2,307.38 : x
  2. Step 2: Convert to fraction form
    3,798.99/5,244.26 = 2,307.38/x
  3. Step 3: Cross multiply
    3,798.99x = 5,244.26 × 2,307.38
  4. Step 4: Simplify right side
    3,798.99x = 12,100,462.88
  5. Step 5: Solve for x
    x = 12,100,462.88/3,798.99
  6. Step 6: Final answer
    x = 3,185.18

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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.