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Finding the Fourth Proportional to 5,736.32, 8,605.34 and 2,038.23

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Solution

The fourth proportional to 5,736.32, 8,605.34 and 2,038.23 is: 3,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.32 : 8,605.34 = 2,038.23 : x
  2. Step 2: Convert to fraction form
    5,736.32/8,605.34 = 2,038.23/x
  3. Step 3: Cross multiply
    5,736.32x = 8,605.34 × 2,038.23
  4. Step 4: Simplify right side
    5,736.32x = 17,539,651.96
  5. Step 5: Solve for x
    x = 17,539,651.96/5,736.32
  6. Step 6: Final answer
    x = 3,057.65

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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.