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Finding the Fourth Proportional to 5,209.88, 7,814.68 and 2,434.92

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Solution

The fourth proportional to 5,209.88, 7,814.68 and 2,434.92 is: 3,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.88 : 7,814.68 = 2,434.92 : x
  2. Step 2: Convert to fraction form
    5,209.88/7,814.68 = 2,434.92/x
  3. Step 3: Cross multiply
    5,209.88x = 7,814.68 × 2,434.92
  4. Step 4: Simplify right side
    5,209.88x = 19,028,120.63
  5. Step 5: Solve for x
    x = 19,028,120.63/5,209.88
  6. Step 6: Final answer
    x = 3,652.31

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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.