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Finding the Fourth Proportional to 5,324.16, 7,346.16 and 3,086.40

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Solution

The fourth proportional to 5,324.16, 7,346.16 and 3,086.40 is: 4,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.16 : 7,346.16 = 3,086.40 : x
  2. Step 2: Convert to fraction form
    5,324.16/7,346.16 = 3,086.40/x
  3. Step 3: Cross multiply
    5,324.16x = 7,346.16 × 3,086.40
  4. Step 4: Simplify right side
    5,324.16x = 22,673,188.22
  5. Step 5: Solve for x
    x = 22,673,188.22/5,324.16
  6. Step 6: Final answer
    x = 4,258.55

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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.