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Finding the Fourth Proportional to 3,619.40, 5,429.40 and 1,154.16

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Solution

The fourth proportional to 3,619.40, 5,429.40 and 1,154.16 is: 1,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.40 : 5,429.40 = 1,154.16 : x
  2. Step 2: Convert to fraction form
    3,619.40/5,429.40 = 1,154.16/x
  3. Step 3: Cross multiply
    3,619.40x = 5,429.40 × 1,154.16
  4. Step 4: Simplify right side
    3,619.40x = 6,266,396.30
  5. Step 5: Solve for x
    x = 6,266,396.30/3,619.40
  6. Step 6: Final answer
    x = 1,731.34

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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.