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Finding the Fourth Proportional to 5,274.64, 7,279.40 and 2,917.20

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Solution

The fourth proportional to 5,274.64, 7,279.40 and 2,917.20 is: 4,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.64 : 7,279.40 = 2,917.20 : x
  2. Step 2: Convert to fraction form
    5,274.64/7,279.40 = 2,917.20/x
  3. Step 3: Cross multiply
    5,274.64x = 7,279.40 × 2,917.20
  4. Step 4: Simplify right side
    5,274.64x = 21,235,465.68
  5. Step 5: Solve for x
    x = 21,235,465.68/5,274.64
  6. Step 6: Final answer
    x = 4,025.96

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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.