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Finding the Fourth Proportional to 4,549.44, 6,822.48 and 3,577.44

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Solution

The fourth proportional to 4,549.44, 6,822.48 and 3,577.44 is: 5,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.44 : 6,822.48 = 3,577.44 : x
  2. Step 2: Convert to fraction form
    4,549.44/6,822.48 = 3,577.44/x
  3. Step 3: Cross multiply
    4,549.44x = 6,822.48 × 3,577.44
  4. Step 4: Simplify right side
    4,549.44x = 24,407,012.85
  5. Step 5: Solve for x
    x = 24,407,012.85/4,549.44
  6. Step 6: Final answer
    x = 5,364.84

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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.