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Finding the Fourth Proportional to 5,686.48, 7,846.44 and 3,202

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Solution

The fourth proportional to 5,686.48, 7,846.44 and 3,202 is: 4,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.48 : 7,846.44 = 3,202 : x
  2. Step 2: Convert to fraction form
    5,686.48/7,846.44 = 3,202/x
  3. Step 3: Cross multiply
    5,686.48x = 7,846.44 × 3,202
  4. Step 4: Simplify right side
    5,686.48x = 25,124,300.88
  5. Step 5: Solve for x
    x = 25,124,300.88/5,686.48
  6. Step 6: Final answer
    x = 4,418.25

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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.