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Finding the Fourth Proportional to 5,651.01, 8,482.23 and 2,731.77

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Solution

The fourth proportional to 5,651.01, 8,482.23 and 2,731.77 is: 4,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.01 : 8,482.23 = 2,731.77 : x
  2. Step 2: Convert to fraction form
    5,651.01/8,482.23 = 2,731.77/x
  3. Step 3: Cross multiply
    5,651.01x = 8,482.23 × 2,731.77
  4. Step 4: Simplify right side
    5,651.01x = 23,171,501.45
  5. Step 5: Solve for x
    x = 23,171,501.45/5,651.01
  6. Step 6: Final answer
    x = 4,100.42

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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.