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Finding the Fourth Proportional to 3,921.60, 5,903.76 and 3,385.92

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Solution

The fourth proportional to 3,921.60, 5,903.76 and 3,385.92 is: 5,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.60 : 5,903.76 = 3,385.92 : x
  2. Step 2: Convert to fraction form
    3,921.60/5,903.76 = 3,385.92/x
  3. Step 3: Cross multiply
    3,921.60x = 5,903.76 × 3,385.92
  4. Step 4: Simplify right side
    3,921.60x = 19,989,659.06
  5. Step 5: Solve for x
    x = 19,989,659.06/3,921.60
  6. Step 6: Final answer
    x = 5,097.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.