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Finding the Fourth Proportional to 4,636.24, 6,952.84 and 1,349.46

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Solution

The fourth proportional to 4,636.24, 6,952.84 and 1,349.46 is: 2,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.24 : 6,952.84 = 1,349.46 : x
  2. Step 2: Convert to fraction form
    4,636.24/6,952.84 = 1,349.46/x
  3. Step 3: Cross multiply
    4,636.24x = 6,952.84 × 1,349.46
  4. Step 4: Simplify right side
    4,636.24x = 9,382,576.09
  5. Step 5: Solve for x
    x = 9,382,576.09/4,636.24
  6. Step 6: Final answer
    x = 2,023.75

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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.