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Finding the Fourth Proportional to 3,272.77, 4,909.74 and 1,083.07

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Solution

The fourth proportional to 3,272.77, 4,909.74 and 1,083.07 is: 1,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.77 : 4,909.74 = 1,083.07 : x
  2. Step 2: Convert to fraction form
    3,272.77/4,909.74 = 1,083.07/x
  3. Step 3: Cross multiply
    3,272.77x = 4,909.74 × 1,083.07
  4. Step 4: Simplify right side
    3,272.77x = 5,317,592.10
  5. Step 5: Solve for x
    x = 5,317,592.10/3,272.77
  6. Step 6: Final answer
    x = 1,624.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.