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Finding the Fourth Proportional to 4,095.72, 6,143.54 and 1,174.05

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Solution

The fourth proportional to 4,095.72, 6,143.54 and 1,174.05 is: 1,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.72 : 6,143.54 = 1,174.05 : x
  2. Step 2: Convert to fraction form
    4,095.72/6,143.54 = 1,174.05/x
  3. Step 3: Cross multiply
    4,095.72x = 6,143.54 × 1,174.05
  4. Step 4: Simplify right side
    4,095.72x = 7,212,817.27
  5. Step 5: Solve for x
    x = 7,212,817.27/4,095.72
  6. Step 6: Final answer
    x = 1,761.06

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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.