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Finding the Fourth Proportional to 5,680.58, 7,837.03 and 4,192.05

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Solution

The fourth proportional to 5,680.58, 7,837.03 and 4,192.05 is: 5,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.58 : 7,837.03 = 4,192.05 : x
  2. Step 2: Convert to fraction form
    5,680.58/7,837.03 = 4,192.05/x
  3. Step 3: Cross multiply
    5,680.58x = 7,837.03 × 4,192.05
  4. Step 4: Simplify right side
    5,680.58x = 32,853,200.65
  5. Step 5: Solve for x
    x = 32,853,200.65/5,680.58
  6. Step 6: Final answer
    x = 5,783.42

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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.