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Finding the Fourth Proportional to 3,809.60, 5,268.90 and 3,416.48

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Solution

The fourth proportional to 3,809.60, 5,268.90 and 3,416.48 is: 4,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.60 : 5,268.90 = 3,416.48 : x
  2. Step 2: Convert to fraction form
    3,809.60/5,268.90 = 3,416.48/x
  3. Step 3: Cross multiply
    3,809.60x = 5,268.90 × 3,416.48
  4. Step 4: Simplify right side
    3,809.60x = 18,001,091.47
  5. Step 5: Solve for x
    x = 18,001,091.47/3,809.60
  6. Step 6: Final answer
    x = 4,725.19

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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.