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Finding the Fourth Proportional to 5,138.64, 7,089.48 and 3,278.80

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Solution

The fourth proportional to 5,138.64, 7,089.48 and 3,278.80 is: 4,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.64 : 7,089.48 = 3,278.80 : x
  2. Step 2: Convert to fraction form
    5,138.64/7,089.48 = 3,278.80/x
  3. Step 3: Cross multiply
    5,138.64x = 7,089.48 × 3,278.80
  4. Step 4: Simplify right side
    5,138.64x = 23,244,987.02
  5. Step 5: Solve for x
    x = 23,244,987.02/5,138.64
  6. Step 6: Final answer
    x = 4,523.57

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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.