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Finding the Fourth Proportional to 5,253.62, 7,885.56 and 4,096.22

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Solution

The fourth proportional to 5,253.62, 7,885.56 and 4,096.22 is: 6,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.62 : 7,885.56 = 4,096.22 : x
  2. Step 2: Convert to fraction form
    5,253.62/7,885.56 = 4,096.22/x
  3. Step 3: Cross multiply
    5,253.62x = 7,885.56 × 4,096.22
  4. Step 4: Simplify right side
    5,253.62x = 32,300,988.58
  5. Step 5: Solve for x
    x = 32,300,988.58/5,253.62
  6. Step 6: Final answer
    x = 6,148.33

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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.