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Finding the Fourth Proportional to 4,628.12, 6,942.17 and 1,165.37

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Solution

The fourth proportional to 4,628.12, 6,942.17 and 1,165.37 is: 1,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.12 : 6,942.17 = 1,165.37 : x
  2. Step 2: Convert to fraction form
    4,628.12/6,942.17 = 1,165.37/x
  3. Step 3: Cross multiply
    4,628.12x = 6,942.17 × 1,165.37
  4. Step 4: Simplify right side
    4,628.12x = 8,090,164.86
  5. Step 5: Solve for x
    x = 8,090,164.86/4,628.12
  6. Step 6: Final answer
    x = 1,748.05

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