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Finding the Fourth Proportional to 3,819.96, 5,270.94 and 3,541.32

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Solution

The fourth proportional to 3,819.96, 5,270.94 and 3,541.32 is: 4,886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.96 : 5,270.94 = 3,541.32 : x
  2. Step 2: Convert to fraction form
    3,819.96/5,270.94 = 3,541.32/x
  3. Step 3: Cross multiply
    3,819.96x = 5,270.94 × 3,541.32
  4. Step 4: Simplify right side
    3,819.96x = 18,666,085.24
  5. Step 5: Solve for x
    x = 18,666,085.24/3,819.96
  6. Step 6: Final answer
    x = 4,886.46

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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.