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Finding the Fourth Proportional to 4,757.80, 7,137.46 and 1,470.12

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Solution

The fourth proportional to 4,757.80, 7,137.46 and 1,470.12 is: 2,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.80 : 7,137.46 = 1,470.12 : x
  2. Step 2: Convert to fraction form
    4,757.80/7,137.46 = 1,470.12/x
  3. Step 3: Cross multiply
    4,757.80x = 7,137.46 × 1,470.12
  4. Step 4: Simplify right side
    4,757.80x = 10,492,922.70
  5. Step 5: Solve for x
    x = 10,492,922.70/4,757.80
  6. Step 6: Final answer
    x = 2,205.41

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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.