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Finding the Fourth Proportional to 4,073.84, 5,618.99 and 3,738.82

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Solution

The fourth proportional to 4,073.84, 5,618.99 and 3,738.82 is: 5,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,073.84 : 5,618.99 = 3,738.82 : x
  2. Step 2: Convert to fraction form
    4,073.84/5,618.99 = 3,738.82/x
  3. Step 3: Cross multiply
    4,073.84x = 5,618.99 × 3,738.82
  4. Step 4: Simplify right side
    4,073.84x = 21,008,389.84
  5. Step 5: Solve for x
    x = 21,008,389.84/4,073.84
  6. Step 6: Final answer
    x = 5,156.90

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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.