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Finding the Fourth Proportional to 3,876.84, 5,804.73 and 3,624.12

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Solution

The fourth proportional to 3,876.84, 5,804.73 and 3,624.12 is: 5,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.84 : 5,804.73 = 3,624.12 : x
  2. Step 2: Convert to fraction form
    3,876.84/5,804.73 = 3,624.12/x
  3. Step 3: Cross multiply
    3,876.84x = 5,804.73 × 3,624.12
  4. Step 4: Simplify right side
    3,876.84x = 21,037,038.09
  5. Step 5: Solve for x
    x = 21,037,038.09/3,876.84
  6. Step 6: Final answer
    x = 5,426.34

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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.