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Finding the Fourth Proportional to 5,613.30, 7,746.33 and 3,256.80

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Solution

The fourth proportional to 5,613.30, 7,746.33 and 3,256.80 is: 4,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.30 : 7,746.33 = 3,256.80 : x
  2. Step 2: Convert to fraction form
    5,613.30/7,746.33 = 3,256.80/x
  3. Step 3: Cross multiply
    5,613.30x = 7,746.33 × 3,256.80
  4. Step 4: Simplify right side
    5,613.30x = 25,228,247.54
  5. Step 5: Solve for x
    x = 25,228,247.54/5,613.30
  6. Step 6: Final answer
    x = 4,494.37

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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.