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Finding the Fourth Proportional to 4,751.13, 7,125.72 and 1,463.43

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Solution

The fourth proportional to 4,751.13, 7,125.72 and 1,463.43 is: 2,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.13 : 7,125.72 = 1,463.43 : x
  2. Step 2: Convert to fraction form
    4,751.13/7,125.72 = 1,463.43/x
  3. Step 3: Cross multiply
    4,751.13x = 7,125.72 × 1,463.43
  4. Step 4: Simplify right side
    4,751.13x = 10,427,992.42
  5. Step 5: Solve for x
    x = 10,427,992.42/4,751.13
  6. Step 6: Final answer
    x = 2,194.84

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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.