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Finding the Fourth Proportional to 5,794.90, 7,998.27 and 3,278.47

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Solution

The fourth proportional to 5,794.90, 7,998.27 and 3,278.47 is: 4,525.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.90 : 7,998.27 = 3,278.47 : x
  2. Step 2: Convert to fraction form
    5,794.90/7,998.27 = 3,278.47/x
  3. Step 3: Cross multiply
    5,794.90x = 7,998.27 × 3,278.47
  4. Step 4: Simplify right side
    5,794.90x = 26,222,088.25
  5. Step 5: Solve for x
    x = 26,222,088.25/5,794.90
  6. Step 6: Final answer
    x = 4,525.03

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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.