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Finding the Fourth Proportional to 4,975.40, 7,463.12 and 2,782.94

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Solution

The fourth proportional to 4,975.40, 7,463.12 and 2,782.94 is: 4,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.40 : 7,463.12 = 2,782.94 : x
  2. Step 2: Convert to fraction form
    4,975.40/7,463.12 = 2,782.94/x
  3. Step 3: Cross multiply
    4,975.40x = 7,463.12 × 2,782.94
  4. Step 4: Simplify right side
    4,975.40x = 20,769,363.94
  5. Step 5: Solve for x
    x = 20,769,363.94/4,975.40
  6. Step 6: Final answer
    x = 4,174.41

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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.