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Finding the Fourth Proportional to 5,422.63, 7,483.23 and 2,938.63

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Solution

The fourth proportional to 5,422.63, 7,483.23 and 2,938.63 is: 4,055.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.63 : 7,483.23 = 2,938.63 : x
  2. Step 2: Convert to fraction form
    5,422.63/7,483.23 = 2,938.63/x
  3. Step 3: Cross multiply
    5,422.63x = 7,483.23 × 2,938.63
  4. Step 4: Simplify right side
    5,422.63x = 21,990,444.17
  5. Step 5: Solve for x
    x = 21,990,444.17/5,422.63
  6. Step 6: Final answer
    x = 4,055.31

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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.