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Finding the Fourth Proportional to 5,137.82, 7,707.87 and 1,850.93

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Solution

The fourth proportional to 5,137.82, 7,707.87 and 1,850.93 is: 2,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.82 : 7,707.87 = 1,850.93 : x
  2. Step 2: Convert to fraction form
    5,137.82/7,707.87 = 1,850.93/x
  3. Step 3: Cross multiply
    5,137.82x = 7,707.87 × 1,850.93
  4. Step 4: Simplify right side
    5,137.82x = 14,266,689.28
  5. Step 5: Solve for x
    x = 14,266,689.28/5,137.82
  6. Step 6: Final answer
    x = 2,776.80

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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.