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Finding the Fourth Proportional to 3,964.36, 5,465.84 and 2,545.54

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Solution

The fourth proportional to 3,964.36, 5,465.84 and 2,545.54 is: 3,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.36 : 5,465.84 = 2,545.54 : x
  2. Step 2: Convert to fraction form
    3,964.36/5,465.84 = 2,545.54/x
  3. Step 3: Cross multiply
    3,964.36x = 5,465.84 × 2,545.54
  4. Step 4: Simplify right side
    3,964.36x = 13,913,474.30
  5. Step 5: Solve for x
    x = 13,913,474.30/3,964.36
  6. Step 6: Final answer
    x = 3,509.64

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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.