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Finding the Fourth Proportional to 3,903.61, 5,850.34 and 2,975.75

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Solution

The fourth proportional to 3,903.61, 5,850.34 and 2,975.75 is: 4,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.61 : 5,850.34 = 2,975.75 : x
  2. Step 2: Convert to fraction form
    3,903.61/5,850.34 = 2,975.75/x
  3. Step 3: Cross multiply
    3,903.61x = 5,850.34 × 2,975.75
  4. Step 4: Simplify right side
    3,903.61x = 17,409,149.26
  5. Step 5: Solve for x
    x = 17,409,149.26/3,903.61
  6. Step 6: Final answer
    x = 4,459.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.