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Finding the Fourth Proportional to 3,703.57, 5,111.37 and 2,131.63

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Solution

The fourth proportional to 3,703.57, 5,111.37 and 2,131.63 is: 2,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.57 : 5,111.37 = 2,131.63 : x
  2. Step 2: Convert to fraction form
    3,703.57/5,111.37 = 2,131.63/x
  3. Step 3: Cross multiply
    3,703.57x = 5,111.37 × 2,131.63
  4. Step 4: Simplify right side
    3,703.57x = 10,895,524.08
  5. Step 5: Solve for x
    x = 10,895,524.08/3,703.57
  6. Step 6: Final answer
    x = 2,941.90

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