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Finding the Fourth Proportional to 4,710.40, 7,057.41 and 2,857.12

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Solution

The fourth proportional to 4,710.40, 7,057.41 and 2,857.12 is: 4,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.40 : 7,057.41 = 2,857.12 : x
  2. Step 2: Convert to fraction form
    4,710.40/7,057.41 = 2,857.12/x
  3. Step 3: Cross multiply
    4,710.40x = 7,057.41 × 2,857.12
  4. Step 4: Simplify right side
    4,710.40x = 20,163,867.26
  5. Step 5: Solve for x
    x = 20,163,867.26/4,710.40
  6. Step 6: Final answer
    x = 4,280.71

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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.