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Finding the Fourth Proportional to 5,426.39, 7,489.49 and 3,435.54

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Solution

The fourth proportional to 5,426.39, 7,489.49 and 3,435.54 is: 4,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.39 : 7,489.49 = 3,435.54 : x
  2. Step 2: Convert to fraction form
    5,426.39/7,489.49 = 3,435.54/x
  3. Step 3: Cross multiply
    5,426.39x = 7,489.49 × 3,435.54
  4. Step 4: Simplify right side
    5,426.39x = 25,730,427.94
  5. Step 5: Solve for x
    x = 25,730,427.94/5,426.39
  6. Step 6: Final answer
    x = 4,741.72

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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.