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Finding the Fourth Proportional to 4,964.48, 7,448.44 and 3,305.26

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Solution

The fourth proportional to 4,964.48, 7,448.44 and 3,305.26 is: 4,959.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.48 : 7,448.44 = 3,305.26 : x
  2. Step 2: Convert to fraction form
    4,964.48/7,448.44 = 3,305.26/x
  3. Step 3: Cross multiply
    4,964.48x = 7,448.44 × 3,305.26
  4. Step 4: Simplify right side
    4,964.48x = 24,619,030.79
  5. Step 5: Solve for x
    x = 24,619,030.79/4,964.48
  6. Step 6: Final answer
    x = 4,959.04

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Why These Related Problems?

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