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Finding the Fourth Proportional to 4,097.96, 6,145.52 and 1,175.48

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Solution

The fourth proportional to 4,097.96, 6,145.52 and 1,175.48 is: 1,762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.96 : 6,145.52 = 1,175.48 : x
  2. Step 2: Convert to fraction form
    4,097.96/6,145.52 = 1,175.48/x
  3. Step 3: Cross multiply
    4,097.96x = 6,145.52 × 1,175.48
  4. Step 4: Simplify right side
    4,097.96x = 7,223,935.85
  5. Step 5: Solve for x
    x = 7,223,935.85/4,097.96
  6. Step 6: Final answer
    x = 1,762.81

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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.