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Finding the Fourth Proportional to 5,510, 7,604.56 and 3,830.48

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Solution

The fourth proportional to 5,510, 7,604.56 and 3,830.48 is: 5,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510 : 7,604.56 = 3,830.48 : x
  2. Step 2: Convert to fraction form
    5,510/7,604.56 = 3,830.48/x
  3. Step 3: Cross multiply
    5,510x = 7,604.56 × 3,830.48
  4. Step 4: Simplify right side
    5,510x = 29,129,114.99
  5. Step 5: Solve for x
    x = 29,129,114.99/5,510
  6. Step 6: Final answer
    x = 5,286.59

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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.