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Finding the Fourth Proportional to 5,783.60, 7,982.34 and 3,427.04

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Solution

The fourth proportional to 5,783.60, 7,982.34 and 3,427.04 is: 4,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.60 : 7,982.34 = 3,427.04 : x
  2. Step 2: Convert to fraction form
    5,783.60/7,982.34 = 3,427.04/x
  3. Step 3: Cross multiply
    5,783.60x = 7,982.34 × 3,427.04
  4. Step 4: Simplify right side
    5,783.60x = 27,355,798.47
  5. Step 5: Solve for x
    x = 27,355,798.47/5,783.60
  6. Step 6: Final answer
    x = 4,729.89

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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.