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Finding the Fourth Proportional to 4,182.69, 5,771.55 and 2,503.76

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Solution

The fourth proportional to 4,182.69, 5,771.55 and 2,503.76 is: 3,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.69 : 5,771.55 = 2,503.76 : x
  2. Step 2: Convert to fraction form
    4,182.69/5,771.55 = 2,503.76/x
  3. Step 3: Cross multiply
    4,182.69x = 5,771.55 × 2,503.76
  4. Step 4: Simplify right side
    4,182.69x = 14,450,589.02
  5. Step 5: Solve for x
    x = 14,450,589.02/4,182.69
  6. Step 6: Final answer
    x = 3,454.86

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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.