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Finding the Fourth Proportional to 5,783.14, 7,984.16 and 3,797.17

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Solution

The fourth proportional to 5,783.14, 7,984.16 and 3,797.17 is: 5,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.14 : 7,984.16 = 3,797.17 : x
  2. Step 2: Convert to fraction form
    5,783.14/7,984.16 = 3,797.17/x
  3. Step 3: Cross multiply
    5,783.14x = 7,984.16 × 3,797.17
  4. Step 4: Simplify right side
    5,783.14x = 30,317,212.83
  5. Step 5: Solve for x
    x = 30,317,212.83/5,783.14
  6. Step 6: Final answer
    x = 5,242.34

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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.