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Finding the Fourth Proportional to 3,622.54, 5,434.19 and 1,156.78

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Solution

The fourth proportional to 3,622.54, 5,434.19 and 1,156.78 is: 1,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.54 : 5,434.19 = 1,156.78 : x
  2. Step 2: Convert to fraction form
    3,622.54/5,434.19 = 1,156.78/x
  3. Step 3: Cross multiply
    3,622.54x = 5,434.19 × 1,156.78
  4. Step 4: Simplify right side
    3,622.54x = 6,286,129.35
  5. Step 5: Solve for x
    x = 6,286,129.35/3,622.54
  6. Step 6: Final answer
    x = 1,735.28

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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.