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Finding the Fourth Proportional to 4,630.52, 6,945.84 and 2,165

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Solution

The fourth proportional to 4,630.52, 6,945.84 and 2,165 is: 3,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.52 : 6,945.84 = 2,165 : x
  2. Step 2: Convert to fraction form
    4,630.52/6,945.84 = 2,165/x
  3. Step 3: Cross multiply
    4,630.52x = 6,945.84 × 2,165
  4. Step 4: Simplify right side
    4,630.52x = 15,037,743.60
  5. Step 5: Solve for x
    x = 15,037,743.60/4,630.52
  6. Step 6: Final answer
    x = 3,247.53

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