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Finding the Fourth Proportional to 3,436.64, 5,154.70 and 1,096.55

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Solution

The fourth proportional to 3,436.64, 5,154.70 and 1,096.55 is: 1,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.64 : 5,154.70 = 1,096.55 : x
  2. Step 2: Convert to fraction form
    3,436.64/5,154.70 = 1,096.55/x
  3. Step 3: Cross multiply
    3,436.64x = 5,154.70 × 1,096.55
  4. Step 4: Simplify right side
    3,436.64x = 5,652,389.03
  5. Step 5: Solve for x
    x = 5,652,389.03/3,436.64
  6. Step 6: Final answer
    x = 1,644.74

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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.