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Finding the Fourth Proportional to 4,820, 7,231.14 and 1,488.14

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Solution

The fourth proportional to 4,820, 7,231.14 and 1,488.14 is: 2,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820 : 7,231.14 = 1,488.14 : x
  2. Step 2: Convert to fraction form
    4,820/7,231.14 = 1,488.14/x
  3. Step 3: Cross multiply
    4,820x = 7,231.14 × 1,488.14
  4. Step 4: Simplify right side
    4,820x = 10,760,948.68
  5. Step 5: Solve for x
    x = 10,760,948.68/4,820
  6. Step 6: Final answer
    x = 2,232.56

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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.