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Finding the Fourth Proportional to 4,311.80, 6,464.10 and 2,259.80

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Solution

The fourth proportional to 4,311.80, 6,464.10 and 2,259.80 is: 3,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.80 : 6,464.10 = 2,259.80 : x
  2. Step 2: Convert to fraction form
    4,311.80/6,464.10 = 2,259.80/x
  3. Step 3: Cross multiply
    4,311.80x = 6,464.10 × 2,259.80
  4. Step 4: Simplify right side
    4,311.80x = 14,607,573.18
  5. Step 5: Solve for x
    x = 14,607,573.18/4,311.80
  6. Step 6: Final answer
    x = 3,387.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.