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Finding the Fourth Proportional to 3,097.64, 4,273.92 and 2,703.92

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Solution

The fourth proportional to 3,097.64, 4,273.92 and 2,703.92 is: 3,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.64 : 4,273.92 = 2,703.92 : x
  2. Step 2: Convert to fraction form
    3,097.64/4,273.92 = 2,703.92/x
  3. Step 3: Cross multiply
    3,097.64x = 4,273.92 × 2,703.92
  4. Step 4: Simplify right side
    3,097.64x = 11,556,337.77
  5. Step 5: Solve for x
    x = 11,556,337.77/3,097.64
  6. Step 6: Final answer
    x = 3,730.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.