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Finding the Fourth Proportional to 4,549.24, 6,822.24 and 3,089.62

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Solution

The fourth proportional to 4,549.24, 6,822.24 and 3,089.62 is: 4,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.24 : 6,822.24 = 3,089.62 : x
  2. Step 2: Convert to fraction form
    4,549.24/6,822.24 = 3,089.62/x
  3. Step 3: Cross multiply
    4,549.24x = 6,822.24 × 3,089.62
  4. Step 4: Simplify right side
    4,549.24x = 21,078,129.15
  5. Step 5: Solve for x
    x = 21,078,129.15/4,549.24
  6. Step 6: Final answer
    x = 4,633.33

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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.