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Finding the Fourth Proportional to 3,429.18, 5,145.48 and 1,786.50

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Solution

The fourth proportional to 3,429.18, 5,145.48 and 1,786.50 is: 2,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.18 : 5,145.48 = 1,786.50 : x
  2. Step 2: Convert to fraction form
    3,429.18/5,145.48 = 1,786.50/x
  3. Step 3: Cross multiply
    3,429.18x = 5,145.48 × 1,786.50
  4. Step 4: Simplify right side
    3,429.18x = 9,192,400.02
  5. Step 5: Solve for x
    x = 9,192,400.02/3,429.18
  6. Step 6: Final answer
    x = 2,680.64

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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.