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Finding the Fourth Proportional to 5,241.64, 7,225.86 and 3,664.84

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Solution

The fourth proportional to 5,241.64, 7,225.86 and 3,664.84 is: 5,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.64 : 7,225.86 = 3,664.84 : x
  2. Step 2: Convert to fraction form
    5,241.64/7,225.86 = 3,664.84/x
  3. Step 3: Cross multiply
    5,241.64x = 7,225.86 × 3,664.84
  4. Step 4: Simplify right side
    5,241.64x = 26,481,620.76
  5. Step 5: Solve for x
    x = 26,481,620.76/5,241.64
  6. Step 6: Final answer
    x = 5,052.16

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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.