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Finding the Fourth Proportional to 3,964.00, 5,470.64 and 2,195.77

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Solution

The fourth proportional to 3,964.00, 5,470.64 and 2,195.77 is: 3,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.00 : 5,470.64 = 2,195.77 : x
  2. Step 2: Convert to fraction form
    3,964.00/5,470.64 = 2,195.77/x
  3. Step 3: Cross multiply
    3,964.00x = 5,470.64 × 2,195.77
  4. Step 4: Simplify right side
    3,964.00x = 12,012,269.89
  5. Step 5: Solve for x
    x = 12,012,269.89/3,964.00
  6. Step 6: Final answer
    x = 3,030.34

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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.