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Finding the Fourth Proportional to 6,580.80, 9,081.63 and 3,596.76

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Solution

The fourth proportional to 6,580.80, 9,081.63 and 3,596.76 is: 4,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.80 : 9,081.63 = 3,596.76 : x
  2. Step 2: Convert to fraction form
    6,580.80/9,081.63 = 3,596.76/x
  3. Step 3: Cross multiply
    6,580.80x = 9,081.63 × 3,596.76
  4. Step 4: Simplify right side
    6,580.80x = 32,664,443.52
  5. Step 5: Solve for x
    x = 32,664,443.52/6,580.80
  6. Step 6: Final answer
    x = 4,963.60

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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.