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Finding the Fourth Proportional to 5,786.16, 7,985.08 and 3,302

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Solution

The fourth proportional to 5,786.16, 7,985.08 and 3,302 is: 4,556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.16 : 7,985.08 = 3,302 : x
  2. Step 2: Convert to fraction form
    5,786.16/7,985.08 = 3,302/x
  3. Step 3: Cross multiply
    5,786.16x = 7,985.08 × 3,302
  4. Step 4: Simplify right side
    5,786.16x = 26,366,734.16
  5. Step 5: Solve for x
    x = 26,366,734.16/5,786.16
  6. Step 6: Final answer
    x = 4,556.86

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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.