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Finding the Fourth Proportional to 5,274.76, 7,278.94 and 2,884.67

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Solution

The fourth proportional to 5,274.76, 7,278.94 and 2,884.67 is: 3,980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.76 : 7,278.94 = 2,884.67 : x
  2. Step 2: Convert to fraction form
    5,274.76/7,278.94 = 2,884.67/x
  3. Step 3: Cross multiply
    5,274.76x = 7,278.94 × 2,884.67
  4. Step 4: Simplify right side
    5,274.76x = 20,997,339.85
  5. Step 5: Solve for x
    x = 20,997,339.85/5,274.76
  6. Step 6: Final answer
    x = 3,980.72

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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.