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Finding the Fourth Proportional to 6,047.20, 8,344.56 and 3,394

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Solution

The fourth proportional to 6,047.20, 8,344.56 and 3,394 is: 4,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.20 : 8,344.56 = 3,394 : x
  2. Step 2: Convert to fraction form
    6,047.20/8,344.56 = 3,394/x
  3. Step 3: Cross multiply
    6,047.20x = 8,344.56 × 3,394
  4. Step 4: Simplify right side
    6,047.20x = 28,321,436.64
  5. Step 5: Solve for x
    x = 28,321,436.64/6,047.20
  6. Step 6: Final answer
    x = 4,683.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.