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Finding the Fourth Proportional to 3,937, 5,433.60 and 2,539.48

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Solution

The fourth proportional to 3,937, 5,433.60 and 2,539.48 is: 3,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937 : 5,433.60 = 2,539.48 : x
  2. Step 2: Convert to fraction form
    3,937/5,433.60 = 2,539.48/x
  3. Step 3: Cross multiply
    3,937x = 5,433.60 × 2,539.48
  4. Step 4: Simplify right side
    3,937x = 13,798,518.53
  5. Step 5: Solve for x
    x = 13,798,518.53/3,937
  6. Step 6: Final answer
    x = 3,504.83

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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.