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Finding the Fourth Proportional to 5,921.12, 8,111.81 and 5,699.54

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Solution

The fourth proportional to 5,921.12, 8,111.81 and 5,699.54 is: 7,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.12 : 8,111.81 = 5,699.54 : x
  2. Step 2: Convert to fraction form
    5,921.12/8,111.81 = 5,699.54/x
  3. Step 3: Cross multiply
    5,921.12x = 8,111.81 × 5,699.54
  4. Step 4: Simplify right side
    5,921.12x = 46,233,585.57
  5. Step 5: Solve for x
    x = 46,233,585.57/5,921.12
  6. Step 6: Final answer
    x = 7,808.25

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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.