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Finding the Fourth Proportional to 3,846.92, 5,276.08 and 3,688.16

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Solution

The fourth proportional to 3,846.92, 5,276.08 and 3,688.16 is: 5,058.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.92 : 5,276.08 = 3,688.16 : x
  2. Step 2: Convert to fraction form
    3,846.92/5,276.08 = 3,688.16/x
  3. Step 3: Cross multiply
    3,846.92x = 5,276.08 × 3,688.16
  4. Step 4: Simplify right side
    3,846.92x = 19,459,027.21
  5. Step 5: Solve for x
    x = 19,459,027.21/3,846.92
  6. Step 6: Final answer
    x = 5,058.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.