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Finding the Fourth Proportional to 3,580.88, 4,945.37 and 2,464.70

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Solution

The fourth proportional to 3,580.88, 4,945.37 and 2,464.70 is: 3,403.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.88 : 4,945.37 = 2,464.70 : x
  2. Step 2: Convert to fraction form
    3,580.88/4,945.37 = 2,464.70/x
  3. Step 3: Cross multiply
    3,580.88x = 4,945.37 × 2,464.70
  4. Step 4: Simplify right side
    3,580.88x = 12,188,853.44
  5. Step 5: Solve for x
    x = 12,188,853.44/3,580.88
  6. Step 6: Final answer
    x = 3,403.87

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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.