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Finding the Fourth Proportional to 4,772.24, 7,155.76 and 1,484.44

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Solution

The fourth proportional to 4,772.24, 7,155.76 and 1,484.44 is: 2,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.24 : 7,155.76 = 1,484.44 : x
  2. Step 2: Convert to fraction form
    4,772.24/7,155.76 = 1,484.44/x
  3. Step 3: Cross multiply
    4,772.24x = 7,155.76 × 1,484.44
  4. Step 4: Simplify right side
    4,772.24x = 10,622,296.37
  5. Step 5: Solve for x
    x = 10,622,296.37/4,772.24
  6. Step 6: Final answer
    x = 2,225.85

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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.