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Finding the Fourth Proportional to 4,750.20, 7,124.99 and 1,463.01

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Solution

The fourth proportional to 4,750.20, 7,124.99 and 1,463.01 is: 2,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.20 : 7,124.99 = 1,463.01 : x
  2. Step 2: Convert to fraction form
    4,750.20/7,124.99 = 1,463.01/x
  3. Step 3: Cross multiply
    4,750.20x = 7,124.99 × 1,463.01
  4. Step 4: Simplify right side
    4,750.20x = 10,423,924.30
  5. Step 5: Solve for x
    x = 10,423,924.30/4,750.20
  6. Step 6: Final answer
    x = 2,194.42

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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.