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Finding the Fourth Proportional to 5,473.76, 8,204.88 and 2,732

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Solution

The fourth proportional to 5,473.76, 8,204.88 and 2,732 is: 4,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.76 : 8,204.88 = 2,732 : x
  2. Step 2: Convert to fraction form
    5,473.76/8,204.88 = 2,732/x
  3. Step 3: Cross multiply
    5,473.76x = 8,204.88 × 2,732
  4. Step 4: Simplify right side
    5,473.76x = 22,415,732.16
  5. Step 5: Solve for x
    x = 22,415,732.16/5,473.76
  6. Step 6: Final answer
    x = 4,095.13

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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.