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Finding the Fourth Proportional to 5,366.68, 8,042.46 and 5,071

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Solution

The fourth proportional to 5,366.68, 8,042.46 and 5,071 is: 7,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.68 : 8,042.46 = 5,071 : x
  2. Step 2: Convert to fraction form
    5,366.68/8,042.46 = 5,071/x
  3. Step 3: Cross multiply
    5,366.68x = 8,042.46 × 5,071
  4. Step 4: Simplify right side
    5,366.68x = 40,783,314.66
  5. Step 5: Solve for x
    x = 40,783,314.66/5,366.68
  6. Step 6: Final answer
    x = 7,599.36

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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.