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Finding the Fourth Proportional to 4,775.36, 7,162.24 and 1,311.80

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Solution

The fourth proportional to 4,775.36, 7,162.24 and 1,311.80 is: 1,967.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.36 : 7,162.24 = 1,311.80 : x
  2. Step 2: Convert to fraction form
    4,775.36/7,162.24 = 1,311.80/x
  3. Step 3: Cross multiply
    4,775.36x = 7,162.24 × 1,311.80
  4. Step 4: Simplify right side
    4,775.36x = 9,395,426.43
  5. Step 5: Solve for x
    x = 9,395,426.43/4,775.36
  6. Step 6: Final answer
    x = 1,967.48

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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.