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Finding the Fourth Proportional to 3,703.59, 5,110.92 and 2,131.74

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Solution

The fourth proportional to 3,703.59, 5,110.92 and 2,131.74 is: 2,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.59 : 5,110.92 = 2,131.74 : x
  2. Step 2: Convert to fraction form
    3,703.59/5,110.92 = 2,131.74/x
  3. Step 3: Cross multiply
    3,703.59x = 5,110.92 × 2,131.74
  4. Step 4: Simplify right side
    3,703.59x = 10,895,152.60
  5. Step 5: Solve for x
    x = 10,895,152.60/3,703.59
  6. Step 6: Final answer
    x = 2,941.78

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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.