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Finding the Fourth Proportional to 4,002.64, 6,004.08 and 1,808.80

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Solution

The fourth proportional to 4,002.64, 6,004.08 and 1,808.80 is: 2,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.64 : 6,004.08 = 1,808.80 : x
  2. Step 2: Convert to fraction form
    4,002.64/6,004.08 = 1,808.80/x
  3. Step 3: Cross multiply
    4,002.64x = 6,004.08 × 1,808.80
  4. Step 4: Simplify right side
    4,002.64x = 10,860,179.90
  5. Step 5: Solve for x
    x = 10,860,179.90/4,002.64
  6. Step 6: Final answer
    x = 2,713.25

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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.