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Finding the Fourth Proportional to 5,402.25, 7,456.07 and 3,164.00

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Solution

The fourth proportional to 5,402.25, 7,456.07 and 3,164.00 is: 4,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.25 : 7,456.07 = 3,164.00 : x
  2. Step 2: Convert to fraction form
    5,402.25/7,456.07 = 3,164.00/x
  3. Step 3: Cross multiply
    5,402.25x = 7,456.07 × 3,164.00
  4. Step 4: Simplify right side
    5,402.25x = 23,590,952.38
  5. Step 5: Solve for x
    x = 23,590,952.38/5,402.25
  6. Step 6: Final answer
    x = 4,366.88

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1.5x scale

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.