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Finding the Fourth Proportional to 3,406.35, 5,107.40 and 1,065.68

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Solution

The fourth proportional to 3,406.35, 5,107.40 and 1,065.68 is: 1,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.35 : 5,107.40 = 1,065.68 : x
  2. Step 2: Convert to fraction form
    3,406.35/5,107.40 = 1,065.68/x
  3. Step 3: Cross multiply
    3,406.35x = 5,107.40 × 1,065.68
  4. Step 4: Simplify right side
    3,406.35x = 5,442,866.67
  5. Step 5: Solve for x
    x = 5,442,866.67/3,406.35
  6. Step 6: Final answer
    x = 1,597.86

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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.