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Finding the Fourth Proportional to 6,096.26, 8,412.80 and 3,443.58

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Solution

The fourth proportional to 6,096.26, 8,412.80 and 3,443.58 is: 4,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.26 : 8,412.80 = 3,443.58 : x
  2. Step 2: Convert to fraction form
    6,096.26/8,412.80 = 3,443.58/x
  3. Step 3: Cross multiply
    6,096.26x = 8,412.80 × 3,443.58
  4. Step 4: Simplify right side
    6,096.26x = 28,970,132.61
  5. Step 5: Solve for x
    x = 28,970,132.61/6,096.26
  6. Step 6: Final answer
    x = 4,752.11

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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.