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Finding the Fourth Proportional to 3,626.76, 5,441.40 and 1,436.16

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Solution

The fourth proportional to 3,626.76, 5,441.40 and 1,436.16 is: 2,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.76 : 5,441.40 = 1,436.16 : x
  2. Step 2: Convert to fraction form
    3,626.76/5,441.40 = 1,436.16/x
  3. Step 3: Cross multiply
    3,626.76x = 5,441.40 × 1,436.16
  4. Step 4: Simplify right side
    3,626.76x = 7,814,721.02
  5. Step 5: Solve for x
    x = 7,814,721.02/3,626.76
  6. Step 6: Final answer
    x = 2,154.74

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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.