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Finding the Fourth Proportional to 4,965.12, 7,409.96 and 4,764.19

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Solution

The fourth proportional to 4,965.12, 7,409.96 and 4,764.19 is: 7,110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.12 : 7,409.96 = 4,764.19 : x
  2. Step 2: Convert to fraction form
    4,965.12/7,409.96 = 4,764.19/x
  3. Step 3: Cross multiply
    4,965.12x = 7,409.96 × 4,764.19
  4. Step 4: Simplify right side
    4,965.12x = 35,302,457.33
  5. Step 5: Solve for x
    x = 35,302,457.33/4,965.12
  6. Step 6: Final answer
    x = 7,110.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.