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Finding the Fourth Proportional to 3,964.96, 5,948.25 and 1,332.73

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Solution

The fourth proportional to 3,964.96, 5,948.25 and 1,332.73 is: 1,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.96 : 5,948.25 = 1,332.73 : x
  2. Step 2: Convert to fraction form
    3,964.96/5,948.25 = 1,332.73/x
  3. Step 3: Cross multiply
    3,964.96x = 5,948.25 × 1,332.73
  4. Step 4: Simplify right side
    3,964.96x = 7,927,411.22
  5. Step 5: Solve for x
    x = 7,927,411.22/3,964.96
  6. Step 6: Final answer
    x = 1,999.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.