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Finding the Fourth Proportional to 4,617.59, 6,380.60 and 3,288.98

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Solution

The fourth proportional to 4,617.59, 6,380.60 and 3,288.98 is: 4,544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.59 : 6,380.60 = 3,288.98 : x
  2. Step 2: Convert to fraction form
    4,617.59/6,380.60 = 3,288.98/x
  3. Step 3: Cross multiply
    4,617.59x = 6,380.60 × 3,288.98
  4. Step 4: Simplify right side
    4,617.59x = 20,985,617.44
  5. Step 5: Solve for x
    x = 20,985,617.44/4,617.59
  6. Step 6: Final answer
    x = 4,544.72

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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.