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Finding the Fourth Proportional to 3,797.60, 5,236.32 and 3,480.08

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Solution

The fourth proportional to 3,797.60, 5,236.32 and 3,480.08 is: 4,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.60 : 5,236.32 = 3,480.08 : x
  2. Step 2: Convert to fraction form
    3,797.60/5,236.32 = 3,480.08/x
  3. Step 3: Cross multiply
    3,797.60x = 5,236.32 × 3,480.08
  4. Step 4: Simplify right side
    3,797.60x = 18,222,812.51
  5. Step 5: Solve for x
    x = 18,222,812.51/3,797.60
  6. Step 6: Final answer
    x = 4,798.51

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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.