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Finding the Fourth Proportional to 5,181.63, 7,772.23 and 1,483.71

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Solution

The fourth proportional to 5,181.63, 7,772.23 and 1,483.71 is: 2,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.63 : 7,772.23 = 1,483.71 : x
  2. Step 2: Convert to fraction form
    5,181.63/7,772.23 = 1,483.71/x
  3. Step 3: Cross multiply
    5,181.63x = 7,772.23 × 1,483.71
  4. Step 4: Simplify right side
    5,181.63x = 11,531,735.37
  5. Step 5: Solve for x
    x = 11,531,735.37/5,181.63
  6. Step 6: Final answer
    x = 2,225.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.