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Finding the Fourth Proportional to 4,138.75, 5,716.35 and 2,739.07

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Solution

The fourth proportional to 4,138.75, 5,716.35 and 2,739.07 is: 3,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.75 : 5,716.35 = 2,739.07 : x
  2. Step 2: Convert to fraction form
    4,138.75/5,716.35 = 2,739.07/x
  3. Step 3: Cross multiply
    4,138.75x = 5,716.35 × 2,739.07
  4. Step 4: Simplify right side
    4,138.75x = 15,657,482.79
  5. Step 5: Solve for x
    x = 15,657,482.79/4,138.75
  6. Step 6: Final answer
    x = 3,783.14

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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.