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Finding the Fourth Proportional to 6,580.82, 9,081.74 and 3,596.58

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Solution

The fourth proportional to 6,580.82, 9,081.74 and 3,596.58 is: 4,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.82 : 9,081.74 = 3,596.58 : x
  2. Step 2: Convert to fraction form
    6,580.82/9,081.74 = 3,596.58/x
  3. Step 3: Cross multiply
    6,580.82x = 9,081.74 × 3,596.58
  4. Step 4: Simplify right side
    6,580.82x = 32,663,204.45
  5. Step 5: Solve for x
    x = 32,663,204.45/6,580.82
  6. Step 6: Final answer
    x = 4,963.39

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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.