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Finding the Fourth Proportional to 4,827, 7,241.22 and 1,749.72

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Solution

The fourth proportional to 4,827, 7,241.22 and 1,749.72 is: 2,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827 : 7,241.22 = 1,749.72 : x
  2. Step 2: Convert to fraction form
    4,827/7,241.22 = 1,749.72/x
  3. Step 3: Cross multiply
    4,827x = 7,241.22 × 1,749.72
  4. Step 4: Simplify right side
    4,827x = 12,670,107.46
  5. Step 5: Solve for x
    x = 12,670,107.46/4,827
  6. Step 6: Final answer
    x = 2,624.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.