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Finding the Fourth Proportional to 4,652.55, 6,975.14 and 3,187.26

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Solution

The fourth proportional to 4,652.55, 6,975.14 and 3,187.26 is: 4,778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.55 : 6,975.14 = 3,187.26 : x
  2. Step 2: Convert to fraction form
    4,652.55/6,975.14 = 3,187.26/x
  3. Step 3: Cross multiply
    4,652.55x = 6,975.14 × 3,187.26
  4. Step 4: Simplify right side
    4,652.55x = 22,231,568.78
  5. Step 5: Solve for x
    x = 22,231,568.78/4,652.55
  6. Step 6: Final answer
    x = 4,778.36

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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.