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Finding the Fourth Proportional to 4,112.33, 5,636.96 and 4,056.96

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Solution

The fourth proportional to 4,112.33, 5,636.96 and 4,056.96 is: 5,561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.33 : 5,636.96 = 4,056.96 : x
  2. Step 2: Convert to fraction form
    4,112.33/5,636.96 = 4,056.96/x
  3. Step 3: Cross multiply
    4,112.33x = 5,636.96 × 4,056.96
  4. Step 4: Simplify right side
    4,112.33x = 22,868,931.38
  5. Step 5: Solve for x
    x = 22,868,931.38/4,112.33
  6. Step 6: Final answer
    x = 5,561.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.