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Finding the Fourth Proportional to 3,633.59, 5,474.66 and 3,287.36

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Solution

The fourth proportional to 3,633.59, 5,474.66 and 3,287.36 is: 4,953.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.59 : 5,474.66 = 3,287.36 : x
  2. Step 2: Convert to fraction form
    3,633.59/5,474.66 = 3,287.36/x
  3. Step 3: Cross multiply
    3,633.59x = 5,474.66 × 3,287.36
  4. Step 4: Simplify right side
    3,633.59x = 17,997,178.30
  5. Step 5: Solve for x
    x = 17,997,178.30/3,633.59
  6. Step 6: Final answer
    x = 4,953.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.