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Finding the Fourth Proportional to 5,685, 7,845.48 and 3,201

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Solution

The fourth proportional to 5,685, 7,845.48 and 3,201 is: 4,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685 : 7,845.48 = 3,201 : x
  2. Step 2: Convert to fraction form
    5,685/7,845.48 = 3,201/x
  3. Step 3: Cross multiply
    5,685x = 7,845.48 × 3,201
  4. Step 4: Simplify right side
    5,685x = 25,113,381.48
  5. Step 5: Solve for x
    x = 25,113,381.48/5,685
  6. Step 6: Final answer
    x = 4,417.48

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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.