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Finding the Fourth Proportional to 3,507.36, 5,268.32 and 2,782.00

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Solution

The fourth proportional to 3,507.36, 5,268.32 and 2,782.00 is: 4,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.36 : 5,268.32 = 2,782.00 : x
  2. Step 2: Convert to fraction form
    3,507.36/5,268.32 = 2,782.00/x
  3. Step 3: Cross multiply
    3,507.36x = 5,268.32 × 2,782.00
  4. Step 4: Simplify right side
    3,507.36x = 14,656,485.00
  5. Step 5: Solve for x
    x = 14,656,485.00/3,507.36
  6. Step 6: Final answer
    x = 4,178.78

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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.