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Finding the Fourth Proportional to 4,473.80, 6,710.70 and 2,743.40

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Solution

The fourth proportional to 4,473.80, 6,710.70 and 2,743.40 is: 4,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.80 : 6,710.70 = 2,743.40 : x
  2. Step 2: Convert to fraction form
    4,473.80/6,710.70 = 2,743.40/x
  3. Step 3: Cross multiply
    4,473.80x = 6,710.70 × 2,743.40
  4. Step 4: Simplify right side
    4,473.80x = 18,410,134.38
  5. Step 5: Solve for x
    x = 18,410,134.38/4,473.80
  6. Step 6: Final answer
    x = 4,115.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.