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Finding the Fourth Proportional to 6,580.41, 9,081.09 and 3,596.16

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Solution

The fourth proportional to 6,580.41, 9,081.09 and 3,596.16 is: 4,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.41 : 9,081.09 = 3,596.16 : x
  2. Step 2: Convert to fraction form
    6,580.41/9,081.09 = 3,596.16/x
  3. Step 3: Cross multiply
    6,580.41x = 9,081.09 × 3,596.16
  4. Step 4: Simplify right side
    6,580.41x = 32,657,052.61
  5. Step 5: Solve for x
    x = 32,657,052.61/6,580.41
  6. Step 6: Final answer
    x = 4,962.77

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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.