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Finding the Fourth Proportional to 5,142.70, 7,714.32 and 2,950.84

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Solution

The fourth proportional to 5,142.70, 7,714.32 and 2,950.84 is: 4,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.70 : 7,714.32 = 2,950.84 : x
  2. Step 2: Convert to fraction form
    5,142.70/7,714.32 = 2,950.84/x
  3. Step 3: Cross multiply
    5,142.70x = 7,714.32 × 2,950.84
  4. Step 4: Simplify right side
    5,142.70x = 22,763,724.03
  5. Step 5: Solve for x
    x = 22,763,724.03/5,142.70
  6. Step 6: Final answer
    x = 4,426.41

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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.