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Finding the Fourth Proportional to 5,872.84, 8,103 and 3,635.80

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Solution

The fourth proportional to 5,872.84, 8,103 and 3,635.80 is: 5,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.84 : 8,103 = 3,635.80 : x
  2. Step 2: Convert to fraction form
    5,872.84/8,103 = 3,635.80/x
  3. Step 3: Cross multiply
    5,872.84x = 8,103 × 3,635.80
  4. Step 4: Simplify right side
    5,872.84x = 29,460,887.40
  5. Step 5: Solve for x
    x = 29,460,887.40/5,872.84
  6. Step 6: Final answer
    x = 5,016.46

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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.