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Finding the Fourth Proportional to 5,613.75, 7,746.87 and 3,096.09

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Solution

The fourth proportional to 5,613.75, 7,746.87 and 3,096.09 is: 4,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.75 : 7,746.87 = 3,096.09 : x
  2. Step 2: Convert to fraction form
    5,613.75/7,746.87 = 3,096.09/x
  3. Step 3: Cross multiply
    5,613.75x = 7,746.87 × 3,096.09
  4. Step 4: Simplify right side
    5,613.75x = 23,985,039.66
  5. Step 5: Solve for x
    x = 23,985,039.66/5,613.75
  6. Step 6: Final answer
    x = 4,272.55

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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.