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Finding the Fourth Proportional to 5,665.86, 8,486.46 and 2,738

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Solution

The fourth proportional to 5,665.86, 8,486.46 and 2,738 is: 4,101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.86 : 8,486.46 = 2,738 : x
  2. Step 2: Convert to fraction form
    5,665.86/8,486.46 = 2,738/x
  3. Step 3: Cross multiply
    5,665.86x = 8,486.46 × 2,738
  4. Step 4: Simplify right side
    5,665.86x = 23,235,927.48
  5. Step 5: Solve for x
    x = 23,235,927.48/5,665.86
  6. Step 6: Final answer
    x = 4,101.04

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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.