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Finding the Fourth Proportional to 5,598, 7,725.24 and 3,241.53

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Solution

The fourth proportional to 5,598, 7,725.24 and 3,241.53 is: 4,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,598 : 7,725.24 = 3,241.53 : x
  2. Step 2: Convert to fraction form
    5,598/7,725.24 = 3,241.53/x
  3. Step 3: Cross multiply
    5,598x = 7,725.24 × 3,241.53
  4. Step 4: Simplify right side
    5,598x = 25,041,597.22
  5. Step 5: Solve for x
    x = 25,041,597.22/5,598
  6. Step 6: Final answer
    x = 4,473.31

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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.