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Finding the Fourth Proportional to 3,422.38, 4,721.22 and 2,303.58

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Solution

The fourth proportional to 3,422.38, 4,721.22 and 2,303.58 is: 3,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.38 : 4,721.22 = 2,303.58 : x
  2. Step 2: Convert to fraction form
    3,422.38/4,721.22 = 2,303.58/x
  3. Step 3: Cross multiply
    3,422.38x = 4,721.22 × 2,303.58
  4. Step 4: Simplify right side
    3,422.38x = 10,875,707.97
  5. Step 5: Solve for x
    x = 10,875,707.97/3,422.38
  6. Step 6: Final answer
    x = 3,177.82

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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.