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Finding the Fourth Proportional to 3,814.82, 5,271.03 and 3,150.53

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Solution

The fourth proportional to 3,814.82, 5,271.03 and 3,150.53 is: 4,353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.82 : 5,271.03 = 3,150.53 : x
  2. Step 2: Convert to fraction form
    3,814.82/5,271.03 = 3,150.53/x
  3. Step 3: Cross multiply
    3,814.82x = 5,271.03 × 3,150.53
  4. Step 4: Simplify right side
    3,814.82x = 16,606,496.04
  5. Step 5: Solve for x
    x = 16,606,496.04/3,814.82
  6. Step 6: Final answer
    x = 4,353.16

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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.