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Finding the Fourth Proportional to 3,975, 5,486.04 and 2,403.60

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Solution

The fourth proportional to 3,975, 5,486.04 and 2,403.60 is: 3,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975 : 5,486.04 = 2,403.60 : x
  2. Step 2: Convert to fraction form
    3,975/5,486.04 = 2,403.60/x
  3. Step 3: Cross multiply
    3,975x = 5,486.04 × 2,403.60
  4. Step 4: Simplify right side
    3,975x = 13,186,245.74
  5. Step 5: Solve for x
    x = 13,186,245.74/3,975
  6. Step 6: Final answer
    x = 3,317.29

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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.