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Finding the Fourth Proportional to 3,622.07, 5,429.43 and 1,400.31

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Solution

The fourth proportional to 3,622.07, 5,429.43 and 1,400.31 is: 2,099.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.07 : 5,429.43 = 1,400.31 : x
  2. Step 2: Convert to fraction form
    3,622.07/5,429.43 = 1,400.31/x
  3. Step 3: Cross multiply
    3,622.07x = 5,429.43 × 1,400.31
  4. Step 4: Simplify right side
    3,622.07x = 7,602,885.12
  5. Step 5: Solve for x
    x = 7,602,885.12/3,622.07
  6. Step 6: Final answer
    x = 2,099.04

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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.