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Finding the Fourth Proportional to 4,845.92, 7,258.56 and 3,662.86

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Solution

The fourth proportional to 4,845.92, 7,258.56 and 3,662.86 is: 5,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845.92 : 7,258.56 = 3,662.86 : x
  2. Step 2: Convert to fraction form
    4,845.92/7,258.56 = 3,662.86/x
  3. Step 3: Cross multiply
    4,845.92x = 7,258.56 × 3,662.86
  4. Step 4: Simplify right side
    4,845.92x = 26,587,089.08
  5. Step 5: Solve for x
    x = 26,587,089.08/4,845.92
  6. Step 6: Final answer
    x = 5,486.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.