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Finding the Fourth Proportional to 6,153.86, 8,491.01 and 3,914.93

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Solution

The fourth proportional to 6,153.86, 8,491.01 and 3,914.93 is: 5,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.86 : 8,491.01 = 3,914.93 : x
  2. Step 2: Convert to fraction form
    6,153.86/8,491.01 = 3,914.93/x
  3. Step 3: Cross multiply
    6,153.86x = 8,491.01 × 3,914.93
  4. Step 4: Simplify right side
    6,153.86x = 33,241,711.43
  5. Step 5: Solve for x
    x = 33,241,711.43/6,153.86
  6. Step 6: Final answer
    x = 5,401.76

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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.