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Finding the Fourth Proportional to 4,935.77, 6,811.47 and 2,697.64

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Solution

The fourth proportional to 4,935.77, 6,811.47 and 2,697.64 is: 3,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.77 : 6,811.47 = 2,697.64 : x
  2. Step 2: Convert to fraction form
    4,935.77/6,811.47 = 2,697.64/x
  3. Step 3: Cross multiply
    4,935.77x = 6,811.47 × 2,697.64
  4. Step 4: Simplify right side
    4,935.77x = 18,374,902.25
  5. Step 5: Solve for x
    x = 18,374,902.25/4,935.77
  6. Step 6: Final answer
    x = 3,722.81

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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.