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Finding the Fourth Proportional to 4,705.39, 6,496.50 and 3,212.77

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Solution

The fourth proportional to 4,705.39, 6,496.50 and 3,212.77 is: 4,435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.39 : 6,496.50 = 3,212.77 : x
  2. Step 2: Convert to fraction form
    4,705.39/6,496.50 = 3,212.77/x
  3. Step 3: Cross multiply
    4,705.39x = 6,496.50 × 3,212.77
  4. Step 4: Simplify right side
    4,705.39x = 20,871,727.82
  5. Step 5: Solve for x
    x = 20,871,727.82/4,705.39
  6. Step 6: Final answer
    x = 4,435.71

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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.