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Finding the Fourth Proportional to 4,644.14, 6,948.74 and 2,763.10

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Solution

The fourth proportional to 4,644.14, 6,948.74 and 2,763.10 is: 4,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.14 : 6,948.74 = 2,763.10 : x
  2. Step 2: Convert to fraction form
    4,644.14/6,948.74 = 2,763.10/x
  3. Step 3: Cross multiply
    4,644.14x = 6,948.74 × 2,763.10
  4. Step 4: Simplify right side
    4,644.14x = 19,200,071.26
  5. Step 5: Solve for x
    x = 19,200,071.26/4,644.14
  6. Step 6: Final answer
    x = 4,134.26

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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.