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Finding the Fourth Proportional to 5,884.41, 8,109.41 and 5,738.61

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Solution

The fourth proportional to 5,884.41, 8,109.41 and 5,738.61 is: 7,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.41 : 8,109.41 = 5,738.61 : x
  2. Step 2: Convert to fraction form
    5,884.41/8,109.41 = 5,738.61/x
  3. Step 3: Cross multiply
    5,884.41x = 8,109.41 × 5,738.61
  4. Step 4: Simplify right side
    5,884.41x = 46,536,712.63
  5. Step 5: Solve for x
    x = 46,536,712.63/5,884.41
  6. Step 6: Final answer
    x = 7,908.48

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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.