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Finding the Fourth Proportional to 3,632.74, 5,448.44 and 964.34

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Solution

The fourth proportional to 3,632.74, 5,448.44 and 964.34 is: 1,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.74 : 5,448.44 = 964.34 : x
  2. Step 2: Convert to fraction form
    3,632.74/5,448.44 = 964.34/x
  3. Step 3: Cross multiply
    3,632.74x = 5,448.44 × 964.34
  4. Step 4: Simplify right side
    3,632.74x = 5,254,148.63
  5. Step 5: Solve for x
    x = 5,254,148.63/3,632.74
  6. Step 6: Final answer
    x = 1,446.33

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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.