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Finding the Fourth Proportional to 5,638.33, 8,457.60 and 3,314.65

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Solution

The fourth proportional to 5,638.33, 8,457.60 and 3,314.65 is: 4,972.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.33 : 8,457.60 = 3,314.65 : x
  2. Step 2: Convert to fraction form
    5,638.33/8,457.60 = 3,314.65/x
  3. Step 3: Cross multiply
    5,638.33x = 8,457.60 × 3,314.65
  4. Step 4: Simplify right side
    5,638.33x = 28,033,924.98
  5. Step 5: Solve for x
    x = 28,033,924.98/5,638.33
  6. Step 6: Final answer
    x = 4,972.03

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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.