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Finding the Fourth Proportional to 5,122.44, 7,682.79 and 1,423.68

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Solution

The fourth proportional to 5,122.44, 7,682.79 and 1,423.68 is: 2,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.44 : 7,682.79 = 1,423.68 : x
  2. Step 2: Convert to fraction form
    5,122.44/7,682.79 = 1,423.68/x
  3. Step 3: Cross multiply
    5,122.44x = 7,682.79 × 1,423.68
  4. Step 4: Simplify right side
    5,122.44x = 10,937,834.47
  5. Step 5: Solve for x
    x = 10,937,834.47/5,122.44
  6. Step 6: Final answer
    x = 2,135.28

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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.