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Finding the Fourth Proportional to 5,518.86, 8,278.28 and 1,414.86

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Solution

The fourth proportional to 5,518.86, 8,278.28 and 1,414.86 is: 2,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,518.86 : 8,278.28 = 1,414.86 : x
  2. Step 2: Convert to fraction form
    5,518.86/8,278.28 = 1,414.86/x
  3. Step 3: Cross multiply
    5,518.86x = 8,278.28 × 1,414.86
  4. Step 4: Simplify right side
    5,518.86x = 11,712,607.24
  5. Step 5: Solve for x
    x = 11,712,607.24/5,518.86
  6. Step 6: Final answer
    x = 2,122.29

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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.