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Finding the Fourth Proportional to 6,457.75, 8,910.32 and 3,804.19

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Solution

The fourth proportional to 6,457.75, 8,910.32 and 3,804.19 is: 5,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.75 : 8,910.32 = 3,804.19 : x
  2. Step 2: Convert to fraction form
    6,457.75/8,910.32 = 3,804.19/x
  3. Step 3: Cross multiply
    6,457.75x = 8,910.32 × 3,804.19
  4. Step 4: Simplify right side
    6,457.75x = 33,896,550.24
  5. Step 5: Solve for x
    x = 33,896,550.24/6,457.75
  6. Step 6: Final answer
    x = 5,248.97

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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.