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Finding the Fourth Proportional to 5,260.27, 7,260 and 3,164.39

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Solution

The fourth proportional to 5,260.27, 7,260 and 3,164.39 is: 4,367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.27 : 7,260 = 3,164.39 : x
  2. Step 2: Convert to fraction form
    5,260.27/7,260 = 3,164.39/x
  3. Step 3: Cross multiply
    5,260.27x = 7,260 × 3,164.39
  4. Step 4: Simplify right side
    5,260.27x = 22,973,471.40
  5. Step 5: Solve for x
    x = 22,973,471.40/5,260.27
  6. Step 6: Final answer
    x = 4,367.36

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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.