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Finding the Fourth Proportional to 5,905.20, 8,857.20 and 2,009.55

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Solution

The fourth proportional to 5,905.20, 8,857.20 and 2,009.55 is: 3,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.20 : 8,857.20 = 2,009.55 : x
  2. Step 2: Convert to fraction form
    5,905.20/8,857.20 = 2,009.55/x
  3. Step 3: Cross multiply
    5,905.20x = 8,857.20 × 2,009.55
  4. Step 4: Simplify right side
    5,905.20x = 17,798,986.26
  5. Step 5: Solve for x
    x = 17,798,986.26/5,905.20
  6. Step 6: Final answer
    x = 3,014.12

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