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Finding the Fourth Proportional to 5,995.50, 8,992.80 and 2,297.40

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Solution

The fourth proportional to 5,995.50, 8,992.80 and 2,297.40 is: 3,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.50 : 8,992.80 = 2,297.40 : x
  2. Step 2: Convert to fraction form
    5,995.50/8,992.80 = 2,297.40/x
  3. Step 3: Cross multiply
    5,995.50x = 8,992.80 × 2,297.40
  4. Step 4: Simplify right side
    5,995.50x = 20,660,058.72
  5. Step 5: Solve for x
    x = 20,660,058.72/5,995.50
  6. Step 6: Final answer
    x = 3,445.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.