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Finding the Fourth Proportional to 3,278.64, 4,499.07 and 2,981.64

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Solution

The fourth proportional to 3,278.64, 4,499.07 and 2,981.64 is: 4,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.64 : 4,499.07 = 2,981.64 : x
  2. Step 2: Convert to fraction form
    3,278.64/4,499.07 = 2,981.64/x
  3. Step 3: Cross multiply
    3,278.64x = 4,499.07 × 2,981.64
  4. Step 4: Simplify right side
    3,278.64x = 13,414,607.07
  5. Step 5: Solve for x
    x = 13,414,607.07/3,278.64
  6. Step 6: Final answer
    x = 4,091.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.