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Finding the Fourth Proportional to 3,406.60, 5,107.87 and 1,065.97

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Solution

The fourth proportional to 3,406.60, 5,107.87 and 1,065.97 is: 1,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.60 : 5,107.87 = 1,065.97 : x
  2. Step 2: Convert to fraction form
    3,406.60/5,107.87 = 1,065.97/x
  3. Step 3: Cross multiply
    3,406.60x = 5,107.87 × 1,065.97
  4. Step 4: Simplify right side
    3,406.60x = 5,444,836.18
  5. Step 5: Solve for x
    x = 5,444,836.18/3,406.60
  6. Step 6: Final answer
    x = 1,598.32

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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.