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Finding the Fourth Proportional to 6,457.86, 8,911.72 and 3,625.01

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Solution

The fourth proportional to 6,457.86, 8,911.72 and 3,625.01 is: 5,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.86 : 8,911.72 = 3,625.01 : x
  2. Step 2: Convert to fraction form
    6,457.86/8,911.72 = 3,625.01/x
  3. Step 3: Cross multiply
    6,457.86x = 8,911.72 × 3,625.01
  4. Step 4: Simplify right side
    6,457.86x = 32,305,057.60
  5. Step 5: Solve for x
    x = 32,305,057.60/6,457.86
  6. Step 6: Final answer
    x = 5,002.44

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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.