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Finding the Fourth Proportional to 4,276.62, 6,410.06 and 1,809.90

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Solution

The fourth proportional to 4,276.62, 6,410.06 and 1,809.90 is: 2,712.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.62 : 6,410.06 = 1,809.90 : x
  2. Step 2: Convert to fraction form
    4,276.62/6,410.06 = 1,809.90/x
  3. Step 3: Cross multiply
    4,276.62x = 6,410.06 × 1,809.90
  4. Step 4: Simplify right side
    4,276.62x = 11,601,567.59
  5. Step 5: Solve for x
    x = 11,601,567.59/4,276.62
  6. Step 6: Final answer
    x = 2,712.79

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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.