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Finding the Fourth Proportional to 3,402.29, 5,100.23 and 3,097.94

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Solution

The fourth proportional to 3,402.29, 5,100.23 and 3,097.94 is: 4,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.29 : 5,100.23 = 3,097.94 : x
  2. Step 2: Convert to fraction form
    3,402.29/5,100.23 = 3,097.94/x
  3. Step 3: Cross multiply
    3,402.29x = 5,100.23 × 3,097.94
  4. Step 4: Simplify right side
    3,402.29x = 15,800,188.77
  5. Step 5: Solve for x
    x = 15,800,188.77/3,402.29
  6. Step 6: Final answer
    x = 4,643.98

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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.