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Finding the Fourth Proportional to 3,887.92, 5,832.64 and 2,502.64

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Solution

The fourth proportional to 3,887.92, 5,832.64 and 2,502.64 is: 3,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.92 : 5,832.64 = 2,502.64 : x
  2. Step 2: Convert to fraction form
    3,887.92/5,832.64 = 2,502.64/x
  3. Step 3: Cross multiply
    3,887.92x = 5,832.64 × 2,502.64
  4. Step 4: Simplify right side
    3,887.92x = 14,596,998.17
  5. Step 5: Solve for x
    x = 14,596,998.17/3,887.92
  6. Step 6: Final answer
    x = 3,754.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.