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Finding the Fourth Proportional to 4,776.02, 7,163.21 and 1,266.06

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Solution

The fourth proportional to 4,776.02, 7,163.21 and 1,266.06 is: 1,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.02 : 7,163.21 = 1,266.06 : x
  2. Step 2: Convert to fraction form
    4,776.02/7,163.21 = 1,266.06/x
  3. Step 3: Cross multiply
    4,776.02x = 7,163.21 × 1,266.06
  4. Step 4: Simplify right side
    4,776.02x = 9,069,053.65
  5. Step 5: Solve for x
    x = 9,069,053.65/4,776.02
  6. Step 6: Final answer
    x = 1,898.87

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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.