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Finding the Fourth Proportional to 3,622.93, 5,435 and 1,157.56

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Solution

The fourth proportional to 3,622.93, 5,435 and 1,157.56 is: 1,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.93 : 5,435 = 1,157.56 : x
  2. Step 2: Convert to fraction form
    3,622.93/5,435 = 1,157.56/x
  3. Step 3: Cross multiply
    3,622.93x = 5,435 × 1,157.56
  4. Step 4: Simplify right side
    3,622.93x = 6,291,338.60
  5. Step 5: Solve for x
    x = 6,291,338.60/3,622.93
  6. Step 6: Final answer
    x = 1,736.53

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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.