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Finding the Fourth Proportional to 3,283.47, 4,530.47 and 2,221.39

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Solution

The fourth proportional to 3,283.47, 4,530.47 and 2,221.39 is: 3,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.47 : 4,530.47 = 2,221.39 : x
  2. Step 2: Convert to fraction form
    3,283.47/4,530.47 = 2,221.39/x
  3. Step 3: Cross multiply
    3,283.47x = 4,530.47 × 2,221.39
  4. Step 4: Simplify right side
    3,283.47x = 10,063,935.31
  5. Step 5: Solve for x
    x = 10,063,935.31/3,283.47
  6. Step 6: Final answer
    x = 3,065.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.