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Finding the Fourth Proportional to 5,435.97, 7,502.40 and 3,446.72

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Solution

The fourth proportional to 5,435.97, 7,502.40 and 3,446.72 is: 4,756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.97 : 7,502.40 = 3,446.72 : x
  2. Step 2: Convert to fraction form
    5,435.97/7,502.40 = 3,446.72/x
  3. Step 3: Cross multiply
    5,435.97x = 7,502.40 × 3,446.72
  4. Step 4: Simplify right side
    5,435.97x = 25,858,617.38
  5. Step 5: Solve for x
    x = 25,858,617.38/5,435.97
  6. Step 6: Final answer
    x = 4,756.95

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Why These Related Problems?

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