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Finding the Fourth Proportional to 4,750.65, 7,126.18 and 1,463.77

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Solution

The fourth proportional to 4,750.65, 7,126.18 and 1,463.77 is: 2,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.65 : 7,126.18 = 1,463.77 : x
  2. Step 2: Convert to fraction form
    4,750.65/7,126.18 = 1,463.77/x
  3. Step 3: Cross multiply
    4,750.65x = 7,126.18 × 1,463.77
  4. Step 4: Simplify right side
    4,750.65x = 10,431,093.75
  5. Step 5: Solve for x
    x = 10,431,093.75/4,750.65
  6. Step 6: Final answer
    x = 2,195.72

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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.