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Finding the Fourth Proportional to 3,703.56, 5,110.86 and 2,131.68

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Solution

The fourth proportional to 3,703.56, 5,110.86 and 2,131.68 is: 2,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.56 : 5,110.86 = 2,131.68 : x
  2. Step 2: Convert to fraction form
    3,703.56/5,110.86 = 2,131.68/x
  3. Step 3: Cross multiply
    3,703.56x = 5,110.86 × 2,131.68
  4. Step 4: Simplify right side
    3,703.56x = 10,894,718.04
  5. Step 5: Solve for x
    x = 10,894,718.04/3,703.56
  6. Step 6: Final answer
    x = 2,941.69

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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.