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Finding the Fourth Proportional to 3,536.64, 5,298.89 and 3,228.03

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Solution

The fourth proportional to 3,536.64, 5,298.89 and 3,228.03 is: 4,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.64 : 5,298.89 = 3,228.03 : x
  2. Step 2: Convert to fraction form
    3,536.64/5,298.89 = 3,228.03/x
  3. Step 3: Cross multiply
    3,536.64x = 5,298.89 × 3,228.03
  4. Step 4: Simplify right side
    3,536.64x = 17,104,959.75
  5. Step 5: Solve for x
    x = 17,104,959.75/3,536.64
  6. Step 6: Final answer
    x = 4,836.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.