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Finding the Fourth Proportional to 6,508.74, 8,982.06 and 3,524.60

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Solution

The fourth proportional to 6,508.74, 8,982.06 and 3,524.60 is: 4,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.74 : 8,982.06 = 3,524.60 : x
  2. Step 2: Convert to fraction form
    6,508.74/8,982.06 = 3,524.60/x
  3. Step 3: Cross multiply
    6,508.74x = 8,982.06 × 3,524.60
  4. Step 4: Simplify right side
    6,508.74x = 31,658,123.77
  5. Step 5: Solve for x
    x = 31,658,123.77/6,508.74
  6. Step 6: Final answer
    x = 4,863.94

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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.