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Finding the Fourth Proportional to 4,825, 7,238.94 and 2,742.76

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Solution

The fourth proportional to 4,825, 7,238.94 and 2,742.76 is: 4,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825 : 7,238.94 = 2,742.76 : x
  2. Step 2: Convert to fraction form
    4,825/7,238.94 = 2,742.76/x
  3. Step 3: Cross multiply
    4,825x = 7,238.94 × 2,742.76
  4. Step 4: Simplify right side
    4,825x = 19,854,675.07
  5. Step 5: Solve for x
    x = 19,854,675.07/4,825
  6. Step 6: Final answer
    x = 4,114.96

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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.