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Finding the Fourth Proportional to 3,427.69, 5,143.58 and 3,148.84

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Solution

The fourth proportional to 3,427.69, 5,143.58 and 3,148.84 is: 4,725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.69 : 5,143.58 = 3,148.84 : x
  2. Step 2: Convert to fraction form
    3,427.69/5,143.58 = 3,148.84/x
  3. Step 3: Cross multiply
    3,427.69x = 5,143.58 × 3,148.84
  4. Step 4: Simplify right side
    3,427.69x = 16,196,316.68
  5. Step 5: Solve for x
    x = 16,196,316.68/3,427.69
  6. Step 6: Final answer
    x = 4,725.15

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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.