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Finding the Fourth Proportional to 3,797.60, 5,690.72 and 3,109.10

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Solution

The fourth proportional to 3,797.60, 5,690.72 and 3,109.10 is: 4,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.60 : 5,690.72 = 3,109.10 : x
  2. Step 2: Convert to fraction form
    3,797.60/5,690.72 = 3,109.10/x
  3. Step 3: Cross multiply
    3,797.60x = 5,690.72 × 3,109.10
  4. Step 4: Simplify right side
    3,797.60x = 17,692,996.87
  5. Step 5: Solve for x
    x = 17,692,996.87/3,797.60
  6. Step 6: Final answer
    x = 4,659.00

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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.