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Finding the Fourth Proportional to 4,097.38, 6,146.05 and 1,175.68

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Solution

The fourth proportional to 4,097.38, 6,146.05 and 1,175.68 is: 1,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.38 : 6,146.05 = 1,175.68 : x
  2. Step 2: Convert to fraction form
    4,097.38/6,146.05 = 1,175.68/x
  3. Step 3: Cross multiply
    4,097.38x = 6,146.05 × 1,175.68
  4. Step 4: Simplify right side
    4,097.38x = 7,225,788.06
  5. Step 5: Solve for x
    x = 7,225,788.06/4,097.38
  6. Step 6: Final answer
    x = 1,763.51

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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.