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Finding the Fourth Proportional to 3,595.88, 5,364.94 and 3,201.20

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Solution

The fourth proportional to 3,595.88, 5,364.94 and 3,201.20 is: 4,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.88 : 5,364.94 = 3,201.20 : x
  2. Step 2: Convert to fraction form
    3,595.88/5,364.94 = 3,201.20/x
  3. Step 3: Cross multiply
    3,595.88x = 5,364.94 × 3,201.20
  4. Step 4: Simplify right side
    3,595.88x = 17,174,245.93
  5. Step 5: Solve for x
    x = 17,174,245.93/3,595.88
  6. Step 6: Final answer
    x = 4,776.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.