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Finding the Fourth Proportional to 5,208.66, 7,818.39 and 3,489.30

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Solution

The fourth proportional to 5,208.66, 7,818.39 and 3,489.30 is: 5,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.66 : 7,818.39 = 3,489.30 : x
  2. Step 2: Convert to fraction form
    5,208.66/7,818.39 = 3,489.30/x
  3. Step 3: Cross multiply
    5,208.66x = 7,818.39 × 3,489.30
  4. Step 4: Simplify right side
    5,208.66x = 27,280,708.23
  5. Step 5: Solve for x
    x = 27,280,708.23/5,208.66
  6. Step 6: Final answer
    x = 5,237.57

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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.