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Finding the Fourth Proportional to 5,274.71, 7,278.86 and 2,884.61

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Solution

The fourth proportional to 5,274.71, 7,278.86 and 2,884.61 is: 3,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.71 : 7,278.86 = 2,884.61 : x
  2. Step 2: Convert to fraction form
    5,274.71/7,278.86 = 2,884.61/x
  3. Step 3: Cross multiply
    5,274.71x = 7,278.86 × 2,884.61
  4. Step 4: Simplify right side
    5,274.71x = 20,996,676.12
  5. Step 5: Solve for x
    x = 20,996,676.12/5,274.71
  6. Step 6: Final answer
    x = 3,980.64

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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.