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Finding the Fourth Proportional to 5,813.21, 8,716.16 and 4,232.49

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Solution

The fourth proportional to 5,813.21, 8,716.16 and 4,232.49 is: 6,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.21 : 8,716.16 = 4,232.49 : x
  2. Step 2: Convert to fraction form
    5,813.21/8,716.16 = 4,232.49/x
  3. Step 3: Cross multiply
    5,813.21x = 8,716.16 × 4,232.49
  4. Step 4: Simplify right side
    5,813.21x = 36,891,038.88
  5. Step 5: Solve for x
    x = 36,891,038.88/5,813.21
  6. Step 6: Final answer
    x = 6,346.08

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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.