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Finding the Fourth Proportional to 5,182.43, 7,152.90 and 3,293.64

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Solution

The fourth proportional to 5,182.43, 7,152.90 and 3,293.64 is: 4,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.43 : 7,152.90 = 3,293.64 : x
  2. Step 2: Convert to fraction form
    5,182.43/7,152.90 = 3,293.64/x
  3. Step 3: Cross multiply
    5,182.43x = 7,152.90 × 3,293.64
  4. Step 4: Simplify right side
    5,182.43x = 23,559,077.56
  5. Step 5: Solve for x
    x = 23,559,077.56/5,182.43
  6. Step 6: Final answer
    x = 4,545.96

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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.