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Finding the Fourth Proportional to 4,095.52, 6,143.73 and 1,174.30

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Solution

The fourth proportional to 4,095.52, 6,143.73 and 1,174.30 is: 1,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.52 : 6,143.73 = 1,174.30 : x
  2. Step 2: Convert to fraction form
    4,095.52/6,143.73 = 1,174.30/x
  3. Step 3: Cross multiply
    4,095.52x = 6,143.73 × 1,174.30
  4. Step 4: Simplify right side
    4,095.52x = 7,214,582.14
  5. Step 5: Solve for x
    x = 7,214,582.14/4,095.52
  6. Step 6: Final answer
    x = 1,761.58

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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.