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Finding the Fourth Proportional to 5,790.74, 7,984.76 and 4,194.23

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Solution

The fourth proportional to 5,790.74, 7,984.76 and 4,194.23 is: 5,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.74 : 7,984.76 = 4,194.23 : x
  2. Step 2: Convert to fraction form
    5,790.74/7,984.76 = 4,194.23/x
  3. Step 3: Cross multiply
    5,790.74x = 7,984.76 × 4,194.23
  4. Step 4: Simplify right side
    5,790.74x = 33,489,859.04
  5. Step 5: Solve for x
    x = 33,489,859.04/5,790.74
  6. Step 6: Final answer
    x = 5,783.35

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Double scale
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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.