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Finding the Fourth Proportional to 3,441.42, 4,744.16 and 2,543.84

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Solution

The fourth proportional to 3,441.42, 4,744.16 and 2,543.84 is: 3,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.42 : 4,744.16 = 2,543.84 : x
  2. Step 2: Convert to fraction form
    3,441.42/4,744.16 = 2,543.84/x
  3. Step 3: Cross multiply
    3,441.42x = 4,744.16 × 2,543.84
  4. Step 4: Simplify right side
    3,441.42x = 12,068,383.97
  5. Step 5: Solve for x
    x = 12,068,383.97/3,441.42
  6. Step 6: Final answer
    x = 3,506.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.