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Finding the Fourth Proportional to 3,751.74, 5,177.73 and 2,259.66

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Solution

The fourth proportional to 3,751.74, 5,177.73 and 2,259.66 is: 3,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.74 : 5,177.73 = 2,259.66 : x
  2. Step 2: Convert to fraction form
    3,751.74/5,177.73 = 2,259.66/x
  3. Step 3: Cross multiply
    3,751.74x = 5,177.73 × 2,259.66
  4. Step 4: Simplify right side
    3,751.74x = 11,699,909.37
  5. Step 5: Solve for x
    x = 11,699,909.37/3,751.74
  6. Step 6: Final answer
    x = 3,118.53

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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.