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Finding the Fourth Proportional to 5,973.60, 8,241.84 and 4,083.60

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Solution

The fourth proportional to 5,973.60, 8,241.84 and 4,083.60 is: 5,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.60 : 8,241.84 = 4,083.60 : x
  2. Step 2: Convert to fraction form
    5,973.60/8,241.84 = 4,083.60/x
  3. Step 3: Cross multiply
    5,973.60x = 8,241.84 × 4,083.60
  4. Step 4: Simplify right side
    5,973.60x = 33,656,377.82
  5. Step 5: Solve for x
    x = 33,656,377.82/5,973.60
  6. Step 6: Final answer
    x = 5,634.19

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1.5x scale

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.