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Finding the Fourth Proportional to 5,402.57, 7,454.52 and 3,164.54

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Solution

The fourth proportional to 5,402.57, 7,454.52 and 3,164.54 is: 4,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.57 : 7,454.52 = 3,164.54 : x
  2. Step 2: Convert to fraction form
    5,402.57/7,454.52 = 3,164.54/x
  3. Step 3: Cross multiply
    5,402.57x = 7,454.52 × 3,164.54
  4. Step 4: Simplify right side
    5,402.57x = 23,590,089.45
  5. Step 5: Solve for x
    x = 23,590,089.45/5,402.57
  6. Step 6: Final answer
    x = 4,366.46

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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.