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Finding the Fourth Proportional to 5,422.50, 7,483.05 and 2,938.50

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Solution

The fourth proportional to 5,422.50, 7,483.05 and 2,938.50 is: 4,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.50 : 7,483.05 = 2,938.50 : x
  2. Step 2: Convert to fraction form
    5,422.50/7,483.05 = 2,938.50/x
  3. Step 3: Cross multiply
    5,422.50x = 7,483.05 × 2,938.50
  4. Step 4: Simplify right side
    5,422.50x = 21,988,942.43
  5. Step 5: Solve for x
    x = 21,988,942.43/5,422.50
  6. Step 6: Final answer
    x = 4,055.13

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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.