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Finding the Fourth Proportional to 6,457.02, 8,906.93 and 4,066.05

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Solution

The fourth proportional to 6,457.02, 8,906.93 and 4,066.05 is: 5,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.02 : 8,906.93 = 4,066.05 : x
  2. Step 2: Convert to fraction form
    6,457.02/8,906.93 = 4,066.05/x
  3. Step 3: Cross multiply
    6,457.02x = 8,906.93 × 4,066.05
  4. Step 4: Simplify right side
    6,457.02x = 36,215,957.86
  5. Step 5: Solve for x
    x = 36,215,957.86/6,457.02
  6. Step 6: Final answer
    x = 5,608.78

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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.