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Finding the Fourth Proportional to 3,282.63, 4,923.05 and 1,091.07

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Solution

The fourth proportional to 3,282.63, 4,923.05 and 1,091.07 is: 1,636.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.63 : 4,923.05 = 1,091.07 : x
  2. Step 2: Convert to fraction form
    3,282.63/4,923.05 = 1,091.07/x
  3. Step 3: Cross multiply
    3,282.63x = 4,923.05 × 1,091.07
  4. Step 4: Simplify right side
    3,282.63x = 5,371,386.71
  5. Step 5: Solve for x
    x = 5,371,386.71/3,282.63
  6. Step 6: Final answer
    x = 1,636.31

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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.