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Finding the Fourth Proportional to 3,626.04, 5,439.20 and 1,160.96

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Solution

The fourth proportional to 3,626.04, 5,439.20 and 1,160.96 is: 1,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.04 : 5,439.20 = 1,160.96 : x
  2. Step 2: Convert to fraction form
    3,626.04/5,439.20 = 1,160.96/x
  3. Step 3: Cross multiply
    3,626.04x = 5,439.20 × 1,160.96
  4. Step 4: Simplify right side
    3,626.04x = 6,314,693.63
  5. Step 5: Solve for x
    x = 6,314,693.63/3,626.04
  6. Step 6: Final answer
    x = 1,741.48

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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.