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Finding the Fourth Proportional to 3,236.16, 4,853.40 and 927.12

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Solution

The fourth proportional to 3,236.16, 4,853.40 and 927.12 is: 1,390.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,236.16 : 4,853.40 = 927.12 : x
  2. Step 2: Convert to fraction form
    3,236.16/4,853.40 = 927.12/x
  3. Step 3: Cross multiply
    3,236.16x = 4,853.40 × 927.12
  4. Step 4: Simplify right side
    3,236.16x = 4,499,684.21
  5. Step 5: Solve for x
    x = 4,499,684.21/3,236.16
  6. Step 6: Final answer
    x = 1,390.44

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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.