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Finding the Fourth Proportional to 5,208.72, 7,827.66 and 2,613.48

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Solution

The fourth proportional to 5,208.72, 7,827.66 and 2,613.48 is: 3,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.72 : 7,827.66 = 2,613.48 : x
  2. Step 2: Convert to fraction form
    5,208.72/7,827.66 = 2,613.48/x
  3. Step 3: Cross multiply
    5,208.72x = 7,827.66 × 2,613.48
  4. Step 4: Simplify right side
    5,208.72x = 20,457,432.86
  5. Step 5: Solve for x
    x = 20,457,432.86/5,208.72
  6. Step 6: Final answer
    x = 3,927.54

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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.