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Finding the Fourth Proportional to 4,120.92, 5,670.44 and 4,006.08

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Solution

The fourth proportional to 4,120.92, 5,670.44 and 4,006.08 is: 5,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.92 : 5,670.44 = 4,006.08 : x
  2. Step 2: Convert to fraction form
    4,120.92/5,670.44 = 4,006.08/x
  3. Step 3: Cross multiply
    4,120.92x = 5,670.44 × 4,006.08
  4. Step 4: Simplify right side
    4,120.92x = 22,716,236.28
  5. Step 5: Solve for x
    x = 22,716,236.28/4,120.92
  6. Step 6: Final answer
    x = 5,512.42

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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.