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Finding the Fourth Proportional to 4,652.37, 6,978.42 and 3,957.39

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Solution

The fourth proportional to 4,652.37, 6,978.42 and 3,957.39 is: 5,935.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.37 : 6,978.42 = 3,957.39 : x
  2. Step 2: Convert to fraction form
    4,652.37/6,978.42 = 3,957.39/x
  3. Step 3: Cross multiply
    4,652.37x = 6,978.42 × 3,957.39
  4. Step 4: Simplify right side
    4,652.37x = 27,616,329.52
  5. Step 5: Solve for x
    x = 27,616,329.52/4,652.37
  6. Step 6: Final answer
    x = 5,935.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.