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Finding the Fourth Proportional to 6,580.44, 9,081.01 and 3,596.30

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Solution

The fourth proportional to 6,580.44, 9,081.01 and 3,596.30 is: 4,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.44 : 9,081.01 = 3,596.30 : x
  2. Step 2: Convert to fraction form
    6,580.44/9,081.01 = 3,596.30/x
  3. Step 3: Cross multiply
    6,580.44x = 9,081.01 × 3,596.30
  4. Step 4: Simplify right side
    6,580.44x = 32,658,029.41
  5. Step 5: Solve for x
    x = 32,658,029.41/6,580.44
  6. Step 6: Final answer
    x = 4,962.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.