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Finding the Fourth Proportional to 4,788.08, 7,177 and 3,415.92

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Solution

The fourth proportional to 4,788.08, 7,177 and 3,415.92 is: 5,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.08 : 7,177 = 3,415.92 : x
  2. Step 2: Convert to fraction form
    4,788.08/7,177 = 3,415.92/x
  3. Step 3: Cross multiply
    4,788.08x = 7,177 × 3,415.92
  4. Step 4: Simplify right side
    4,788.08x = 24,516,057.84
  5. Step 5: Solve for x
    x = 24,516,057.84/4,788.08
  6. Step 6: Final answer
    x = 5,120.23

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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.