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Finding the Fourth Proportional to 5,351.85, 7,384.50 and 2,993.54

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Solution

The fourth proportional to 5,351.85, 7,384.50 and 2,993.54 is: 4,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.85 : 7,384.50 = 2,993.54 : x
  2. Step 2: Convert to fraction form
    5,351.85/7,384.50 = 2,993.54/x
  3. Step 3: Cross multiply
    5,351.85x = 7,384.50 × 2,993.54
  4. Step 4: Simplify right side
    5,351.85x = 22,105,759.21
  5. Step 5: Solve for x
    x = 22,105,759.21/5,351.85
  6. Step 6: Final answer
    x = 4,130.49

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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.