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Finding the Fourth Proportional to 5,783.40, 7,985.46 and 3,793.20

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Solution

The fourth proportional to 5,783.40, 7,985.46 and 3,793.20 is: 5,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.40 : 7,985.46 = 3,793.20 : x
  2. Step 2: Convert to fraction form
    5,783.40/7,985.46 = 3,793.20/x
  3. Step 3: Cross multiply
    5,783.40x = 7,985.46 × 3,793.20
  4. Step 4: Simplify right side
    5,783.40x = 30,290,446.87
  5. Step 5: Solve for x
    x = 30,290,446.87/5,783.40
  6. Step 6: Final answer
    x = 5,237.48

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