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Finding the Fourth Proportional to 3,741.98, 5,164.18 and 2,480.86

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Solution

The fourth proportional to 3,741.98, 5,164.18 and 2,480.86 is: 3,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.98 : 5,164.18 = 2,480.86 : x
  2. Step 2: Convert to fraction form
    3,741.98/5,164.18 = 2,480.86/x
  3. Step 3: Cross multiply
    3,741.98x = 5,164.18 × 2,480.86
  4. Step 4: Simplify right side
    3,741.98x = 12,811,607.59
  5. Step 5: Solve for x
    x = 12,811,607.59/3,741.98
  6. Step 6: Final answer
    x = 3,423.75

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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.