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Finding the Fourth Proportional to 5,953.70, 8,216.09 and 3,301.50

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Solution

The fourth proportional to 5,953.70, 8,216.09 and 3,301.50 is: 4,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.70 : 8,216.09 = 3,301.50 : x
  2. Step 2: Convert to fraction form
    5,953.70/8,216.09 = 3,301.50/x
  3. Step 3: Cross multiply
    5,953.70x = 8,216.09 × 3,301.50
  4. Step 4: Simplify right side
    5,953.70x = 27,125,404.63
  5. Step 5: Solve for x
    x = 27,125,404.63/5,953.70
  6. Step 6: Final answer
    x = 4,556.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.