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Finding the Fourth Proportional to 4,638.36, 6,964.02 and 2,448.12

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Solution

The fourth proportional to 4,638.36, 6,964.02 and 2,448.12 is: 3,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.36 : 6,964.02 = 2,448.12 : x
  2. Step 2: Convert to fraction form
    4,638.36/6,964.02 = 2,448.12/x
  3. Step 3: Cross multiply
    4,638.36x = 6,964.02 × 2,448.12
  4. Step 4: Simplify right side
    4,638.36x = 17,048,756.64
  5. Step 5: Solve for x
    x = 17,048,756.64/4,638.36
  6. Step 6: Final answer
    x = 3,675.60

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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.