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Finding the Fourth Proportional to 5,209.80, 7,808.63 and 2,285.30

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Solution

The fourth proportional to 5,209.80, 7,808.63 and 2,285.30 is: 3,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.80 : 7,808.63 = 2,285.30 : x
  2. Step 2: Convert to fraction form
    5,209.80/7,808.63 = 2,285.30/x
  3. Step 3: Cross multiply
    5,209.80x = 7,808.63 × 2,285.30
  4. Step 4: Simplify right side
    5,209.80x = 17,845,011.67
  5. Step 5: Solve for x
    x = 17,845,011.67/5,209.80
  6. Step 6: Final answer
    x = 3,425.28

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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.