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Finding the Fourth Proportional to 5,182.25, 7,772.03 and 1,483.62

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Solution

The fourth proportional to 5,182.25, 7,772.03 and 1,483.62 is: 2,225.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.25 : 7,772.03 = 1,483.62 : x
  2. Step 2: Convert to fraction form
    5,182.25/7,772.03 = 1,483.62/x
  3. Step 3: Cross multiply
    5,182.25x = 7,772.03 × 1,483.62
  4. Step 4: Simplify right side
    5,182.25x = 11,530,692.87
  5. Step 5: Solve for x
    x = 11,530,692.87/5,182.25
  6. Step 6: Final answer
    x = 2,225.04

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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.