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Finding the Fourth Proportional to 5,938.30, 8,897.85 and 3,743.10

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Solution

The fourth proportional to 5,938.30, 8,897.85 and 3,743.10 is: 5,608.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.30 : 8,897.85 = 3,743.10 : x
  2. Step 2: Convert to fraction form
    5,938.30/8,897.85 = 3,743.10/x
  3. Step 3: Cross multiply
    5,938.30x = 8,897.85 × 3,743.10
  4. Step 4: Simplify right side
    5,938.30x = 33,305,542.34
  5. Step 5: Solve for x
    x = 33,305,542.34/5,938.30
  6. Step 6: Final answer
    x = 5,608.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.