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Finding the Fourth Proportional to 5,975.16, 8,241.60 and 3,491.16

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Solution

The fourth proportional to 5,975.16, 8,241.60 and 3,491.16 is: 4,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.16 : 8,241.60 = 3,491.16 : x
  2. Step 2: Convert to fraction form
    5,975.16/8,241.60 = 3,491.16/x
  3. Step 3: Cross multiply
    5,975.16x = 8,241.60 × 3,491.16
  4. Step 4: Simplify right side
    5,975.16x = 28,772,744.26
  5. Step 5: Solve for x
    x = 28,772,744.26/5,975.16
  6. Step 6: Final answer
    x = 4,815.39

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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.