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Finding the Fourth Proportional to 5,268.81, 7,886.07 and 3,881.60

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Solution

The fourth proportional to 5,268.81, 7,886.07 and 3,881.60 is: 5,809.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.81 : 7,886.07 = 3,881.60 : x
  2. Step 2: Convert to fraction form
    5,268.81/7,886.07 = 3,881.60/x
  3. Step 3: Cross multiply
    5,268.81x = 7,886.07 × 3,881.60
  4. Step 4: Simplify right side
    5,268.81x = 30,610,569.31
  5. Step 5: Solve for x
    x = 30,610,569.31/5,268.81
  6. Step 6: Final answer
    x = 5,809.77

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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.