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Finding the Fourth Proportional to 4,763.16, 7,144.52 and 1,300.42

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Solution

The fourth proportional to 4,763.16, 7,144.52 and 1,300.42 is: 1,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.16 : 7,144.52 = 1,300.42 : x
  2. Step 2: Convert to fraction form
    4,763.16/7,144.52 = 1,300.42/x
  3. Step 3: Cross multiply
    4,763.16x = 7,144.52 × 1,300.42
  4. Step 4: Simplify right side
    4,763.16x = 9,290,876.70
  5. Step 5: Solve for x
    x = 9,290,876.70/4,763.16
  6. Step 6: Final answer
    x = 1,950.57

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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.