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Finding the Fourth Proportional to 4,628.52, 6,942.84 and 1,165.92

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Solution

The fourth proportional to 4,628.52, 6,942.84 and 1,165.92 is: 1,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.52 : 6,942.84 = 1,165.92 : x
  2. Step 2: Convert to fraction form
    4,628.52/6,942.84 = 1,165.92/x
  3. Step 3: Cross multiply
    4,628.52x = 6,942.84 × 1,165.92
  4. Step 4: Simplify right side
    4,628.52x = 8,094,796.01
  5. Step 5: Solve for x
    x = 8,094,796.01/4,628.52
  6. Step 6: Final answer
    x = 1,748.90

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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.