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Finding the Fourth Proportional to 5,435.46, 7,507.56 and 3,940.98

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Solution

The fourth proportional to 5,435.46, 7,507.56 and 3,940.98 is: 5,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.46 : 7,507.56 = 3,940.98 : x
  2. Step 2: Convert to fraction form
    5,435.46/7,507.56 = 3,940.98/x
  3. Step 3: Cross multiply
    5,435.46x = 7,507.56 × 3,940.98
  4. Step 4: Simplify right side
    5,435.46x = 29,587,143.81
  5. Step 5: Solve for x
    x = 29,587,143.81/5,435.46
  6. Step 6: Final answer
    x = 5,443.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.