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Finding the Fourth Proportional to 3,556.34, 4,908.34 and 2,065.20

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Solution

The fourth proportional to 3,556.34, 4,908.34 and 2,065.20 is: 2,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556.34 : 4,908.34 = 2,065.20 : x
  2. Step 2: Convert to fraction form
    3,556.34/4,908.34 = 2,065.20/x
  3. Step 3: Cross multiply
    3,556.34x = 4,908.34 × 2,065.20
  4. Step 4: Simplify right side
    3,556.34x = 10,136,703.77
  5. Step 5: Solve for x
    x = 10,136,703.77/3,556.34
  6. Step 6: Final answer
    x = 2,850.32

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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.