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Finding the Fourth Proportional to 4,695.96, 7,028.22 and 4,633.80

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Solution

The fourth proportional to 4,695.96, 7,028.22 and 4,633.80 is: 6,935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.96 : 7,028.22 = 4,633.80 : x
  2. Step 2: Convert to fraction form
    4,695.96/7,028.22 = 4,633.80/x
  3. Step 3: Cross multiply
    4,695.96x = 7,028.22 × 4,633.80
  4. Step 4: Simplify right side
    4,695.96x = 32,567,365.84
  5. Step 5: Solve for x
    x = 32,567,365.84/4,695.96
  6. Step 6: Final answer
    x = 6,935.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.