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Finding the Fourth Proportional to 3,751.34, 5,177.51 and 2,157.86

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Solution

The fourth proportional to 3,751.34, 5,177.51 and 2,157.86 is: 2,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.34 : 5,177.51 = 2,157.86 : x
  2. Step 2: Convert to fraction form
    3,751.34/5,177.51 = 2,157.86/x
  3. Step 3: Cross multiply
    3,751.34x = 5,177.51 × 2,157.86
  4. Step 4: Simplify right side
    3,751.34x = 11,172,305.05
  5. Step 5: Solve for x
    x = 11,172,305.05/3,751.34
  6. Step 6: Final answer
    x = 2,978.22

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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.