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Finding the Fourth Proportional to 4,763.58, 7,144.53 and 1,839.48

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Solution

The fourth proportional to 4,763.58, 7,144.53 and 1,839.48 is: 2,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.58 : 7,144.53 = 1,839.48 : x
  2. Step 2: Convert to fraction form
    4,763.58/7,144.53 = 1,839.48/x
  3. Step 3: Cross multiply
    4,763.58x = 7,144.53 × 1,839.48
  4. Step 4: Simplify right side
    4,763.58x = 13,142,220.04
  5. Step 5: Solve for x
    x = 13,142,220.04/4,763.58
  6. Step 6: Final answer
    x = 2,758.90

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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.