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Finding the Fourth Proportional to 4,665.08, 6,997.80 and 1,743.08

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Solution

The fourth proportional to 4,665.08, 6,997.80 and 1,743.08 is: 2,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.08 : 6,997.80 = 1,743.08 : x
  2. Step 2: Convert to fraction form
    4,665.08/6,997.80 = 1,743.08/x
  3. Step 3: Cross multiply
    4,665.08x = 6,997.80 × 1,743.08
  4. Step 4: Simplify right side
    4,665.08x = 12,197,725.22
  5. Step 5: Solve for x
    x = 12,197,725.22/4,665.08
  6. Step 6: Final answer
    x = 2,614.69

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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.