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Finding the Fourth Proportional to 3,283.66, 4,530.65 and 2,106.33

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Solution

The fourth proportional to 3,283.66, 4,530.65 and 2,106.33 is: 2,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.66 : 4,530.65 = 2,106.33 : x
  2. Step 2: Convert to fraction form
    3,283.66/4,530.65 = 2,106.33/x
  3. Step 3: Cross multiply
    3,283.66x = 4,530.65 × 2,106.33
  4. Step 4: Simplify right side
    3,283.66x = 9,543,024.39
  5. Step 5: Solve for x
    x = 9,543,024.39/3,283.66
  6. Step 6: Final answer
    x = 2,906.21

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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.