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Finding the Fourth Proportional to 5,772.88, 7,958.28 and 4,114

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Solution

The fourth proportional to 5,772.88, 7,958.28 and 4,114 is: 5,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.88 : 7,958.28 = 4,114 : x
  2. Step 2: Convert to fraction form
    5,772.88/7,958.28 = 4,114/x
  3. Step 3: Cross multiply
    5,772.88x = 7,958.28 × 4,114
  4. Step 4: Simplify right side
    5,772.88x = 32,740,363.92
  5. Step 5: Solve for x
    x = 32,740,363.92/5,772.88
  6. Step 6: Final answer
    x = 5,671.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.