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Finding the Fourth Proportional to 3,920.77, 5,410.62 and 2,152.27

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Solution

The fourth proportional to 3,920.77, 5,410.62 and 2,152.27 is: 2,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.77 : 5,410.62 = 2,152.27 : x
  2. Step 2: Convert to fraction form
    3,920.77/5,410.62 = 2,152.27/x
  3. Step 3: Cross multiply
    3,920.77x = 5,410.62 × 2,152.27
  4. Step 4: Simplify right side
    3,920.77x = 11,645,115.11
  5. Step 5: Solve for x
    x = 11,645,115.11/3,920.77
  6. Step 6: Final answer
    x = 2,970.11

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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.