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Finding the Fourth Proportional to 3,402.85, 5,098.68 and 2,101.63

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Solution

The fourth proportional to 3,402.85, 5,098.68 and 2,101.63 is: 3,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.85 : 5,098.68 = 2,101.63 : x
  2. Step 2: Convert to fraction form
    3,402.85/5,098.68 = 2,101.63/x
  3. Step 3: Cross multiply
    3,402.85x = 5,098.68 × 2,101.63
  4. Step 4: Simplify right side
    3,402.85x = 10,715,538.85
  5. Step 5: Solve for x
    x = 10,715,538.85/3,402.85
  6. Step 6: Final answer
    x = 3,148.99

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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.