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Finding the Fourth Proportional to 4,763, 7,144.59 and 1,300.34

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Solution

The fourth proportional to 4,763, 7,144.59 and 1,300.34 is: 1,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763 : 7,144.59 = 1,300.34 : x
  2. Step 2: Convert to fraction form
    4,763/7,144.59 = 1,300.34/x
  3. Step 3: Cross multiply
    4,763x = 7,144.59 × 1,300.34
  4. Step 4: Simplify right side
    4,763x = 9,290,396.16
  5. Step 5: Solve for x
    x = 9,290,396.16/4,763
  6. Step 6: Final answer
    x = 1,950.53

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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.