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Finding the Fourth Proportional to 4,097.64, 6,146.77 and 1,175.97

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Solution

The fourth proportional to 4,097.64, 6,146.77 and 1,175.97 is: 1,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.64 : 6,146.77 = 1,175.97 : x
  2. Step 2: Convert to fraction form
    4,097.64/6,146.77 = 1,175.97/x
  3. Step 3: Cross multiply
    4,097.64x = 6,146.77 × 1,175.97
  4. Step 4: Simplify right side
    4,097.64x = 7,228,417.12
  5. Step 5: Solve for x
    x = 7,228,417.12/4,097.64
  6. Step 6: Final answer
    x = 1,764.04

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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.