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Finding the Fourth Proportional to 5,899.66, 8,145.70 and 3,914.34

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Solution

The fourth proportional to 5,899.66, 8,145.70 and 3,914.34 is: 5,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.66 : 8,145.70 = 3,914.34 : x
  2. Step 2: Convert to fraction form
    5,899.66/8,145.70 = 3,914.34/x
  3. Step 3: Cross multiply
    5,899.66x = 8,145.70 × 3,914.34
  4. Step 4: Simplify right side
    5,899.66x = 31,885,039.34
  5. Step 5: Solve for x
    x = 31,885,039.34/5,899.66
  6. Step 6: Final answer
    x = 5,404.56

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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.