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Finding the Fourth Proportional to 5,783.44, 7,984.92 and 4,454.68

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Solution

The fourth proportional to 5,783.44, 7,984.92 and 4,454.68 is: 6,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.44 : 7,984.92 = 4,454.68 : x
  2. Step 2: Convert to fraction form
    5,783.44/7,984.92 = 4,454.68/x
  3. Step 3: Cross multiply
    5,783.44x = 7,984.92 × 4,454.68
  4. Step 4: Simplify right side
    5,783.44x = 35,570,263.43
  5. Step 5: Solve for x
    x = 35,570,263.43/5,783.44
  6. Step 6: Final answer
    x = 6,150.36

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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.