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Finding the Fourth Proportional to 4,903.12, 6,771.94 and 3,232

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Solution

The fourth proportional to 4,903.12, 6,771.94 and 3,232 is: 4,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.12 : 6,771.94 = 3,232 : x
  2. Step 2: Convert to fraction form
    4,903.12/6,771.94 = 3,232/x
  3. Step 3: Cross multiply
    4,903.12x = 6,771.94 × 3,232
  4. Step 4: Simplify right side
    4,903.12x = 21,886,910.08
  5. Step 5: Solve for x
    x = 21,886,910.08/4,903.12
  6. Step 6: Final answer
    x = 4,463.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.