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Finding the Fourth Proportional to 6,457, 8,910.84 and 3,662.68

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Solution

The fourth proportional to 6,457, 8,910.84 and 3,662.68 is: 5,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457 : 8,910.84 = 3,662.68 : x
  2. Step 2: Convert to fraction form
    6,457/8,910.84 = 3,662.68/x
  3. Step 3: Cross multiply
    6,457x = 8,910.84 × 3,662.68
  4. Step 4: Simplify right side
    6,457x = 32,637,555.45
  5. Step 5: Solve for x
    x = 32,637,555.45/6,457
  6. Step 6: Final answer
    x = 5,054.60

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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.