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Finding the Fourth Proportional to 3,622.71, 5,434.11 and 1,157.70

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Solution

The fourth proportional to 3,622.71, 5,434.11 and 1,157.70 is: 1,736.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.71 : 5,434.11 = 1,157.70 : x
  2. Step 2: Convert to fraction form
    3,622.71/5,434.11 = 1,157.70/x
  3. Step 3: Cross multiply
    3,622.71x = 5,434.11 × 1,157.70
  4. Step 4: Simplify right side
    3,622.71x = 6,291,069.15
  5. Step 5: Solve for x
    x = 6,291,069.15/3,622.71
  6. Step 6: Final answer
    x = 1,736.56

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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.