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Finding the Fourth Proportional to 4,677.12, 7,017.12 and 2,080.80

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Solution

The fourth proportional to 4,677.12, 7,017.12 and 2,080.80 is: 3,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.12 : 7,017.12 = 2,080.80 : x
  2. Step 2: Convert to fraction form
    4,677.12/7,017.12 = 2,080.80/x
  3. Step 3: Cross multiply
    4,677.12x = 7,017.12 × 2,080.80
  4. Step 4: Simplify right side
    4,677.12x = 14,601,223.30
  5. Step 5: Solve for x
    x = 14,601,223.30/4,677.12
  6. Step 6: Final answer
    x = 3,121.84

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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.