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Finding the Fourth Proportional to 5,954.42, 8,216.98 and 3,301.77

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Solution

The fourth proportional to 5,954.42, 8,216.98 and 3,301.77 is: 4,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.42 : 8,216.98 = 3,301.77 : x
  2. Step 2: Convert to fraction form
    5,954.42/8,216.98 = 3,301.77/x
  3. Step 3: Cross multiply
    5,954.42x = 8,216.98 × 3,301.77
  4. Step 4: Simplify right side
    5,954.42x = 27,130,600.61
  5. Step 5: Solve for x
    x = 27,130,600.61/5,954.42
  6. Step 6: Final answer
    x = 4,556.38

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Why These Related Problems?

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