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Finding the Fourth Proportional to 3,706.32, 5,559.57 and 1,241.16

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Solution

The fourth proportional to 3,706.32, 5,559.57 and 1,241.16 is: 1,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.32 : 5,559.57 = 1,241.16 : x
  2. Step 2: Convert to fraction form
    3,706.32/5,559.57 = 1,241.16/x
  3. Step 3: Cross multiply
    3,706.32x = 5,559.57 × 1,241.16
  4. Step 4: Simplify right side
    3,706.32x = 6,900,315.90
  5. Step 5: Solve for x
    x = 6,900,315.90/3,706.32
  6. Step 6: Final answer
    x = 1,861.77

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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.