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Finding the Fourth Proportional to 3,577.93, 4,938.01 and 2,086.31

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Solution

The fourth proportional to 3,577.93, 4,938.01 and 2,086.31 is: 2,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.93 : 4,938.01 = 2,086.31 : x
  2. Step 2: Convert to fraction form
    3,577.93/4,938.01 = 2,086.31/x
  3. Step 3: Cross multiply
    3,577.93x = 4,938.01 × 2,086.31
  4. Step 4: Simplify right side
    3,577.93x = 10,302,226.77
  5. Step 5: Solve for x
    x = 10,302,226.77/3,577.93
  6. Step 6: Final answer
    x = 2,879.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.