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Finding the Fourth Proportional to 4,757.70, 7,137.31 and 1,470.02

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Solution

The fourth proportional to 4,757.70, 7,137.31 and 1,470.02 is: 2,205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.70 : 7,137.31 = 1,470.02 : x
  2. Step 2: Convert to fraction form
    4,757.70/7,137.31 = 1,470.02/x
  3. Step 3: Cross multiply
    4,757.70x = 7,137.31 × 1,470.02
  4. Step 4: Simplify right side
    4,757.70x = 10,492,008.13
  5. Step 5: Solve for x
    x = 10,492,008.13/4,757.70
  6. Step 6: Final answer
    x = 2,205.27

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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.