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Finding the Fourth Proportional to 5,154.40, 7,727.10 and 3,505.60

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Solution

The fourth proportional to 5,154.40, 7,727.10 and 3,505.60 is: 5,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.40 : 7,727.10 = 3,505.60 : x
  2. Step 2: Convert to fraction form
    5,154.40/7,727.10 = 3,505.60/x
  3. Step 3: Cross multiply
    5,154.40x = 7,727.10 × 3,505.60
  4. Step 4: Simplify right side
    5,154.40x = 27,088,121.76
  5. Step 5: Solve for x
    x = 27,088,121.76/5,154.40
  6. Step 6: Final answer
    x = 5,255.34

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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.