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Finding the Fourth Proportional to 3,406.80, 5,097.40 and 3,099.60

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Solution

The fourth proportional to 3,406.80, 5,097.40 and 3,099.60 is: 4,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.80 : 5,097.40 = 3,099.60 : x
  2. Step 2: Convert to fraction form
    3,406.80/5,097.40 = 3,099.60/x
  3. Step 3: Cross multiply
    3,406.80x = 5,097.40 × 3,099.60
  4. Step 4: Simplify right side
    3,406.80x = 15,799,901.04
  5. Step 5: Solve for x
    x = 15,799,901.04/3,406.80
  6. Step 6: Final answer
    x = 4,637.75

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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.