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Finding the Fourth Proportional to 3,906.65, 5,859.99 and 1,598.15

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Solution

The fourth proportional to 3,906.65, 5,859.99 and 1,598.15 is: 2,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.65 : 5,859.99 = 1,598.15 : x
  2. Step 2: Convert to fraction form
    3,906.65/5,859.99 = 1,598.15/x
  3. Step 3: Cross multiply
    3,906.65x = 5,859.99 × 1,598.15
  4. Step 4: Simplify right side
    3,906.65x = 9,365,113.72
  5. Step 5: Solve for x
    x = 9,365,113.72/3,906.65
  6. Step 6: Final answer
    x = 2,397.23

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1.5x scale

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.