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Finding the Fourth Proportional to 5,200.83, 7,795.53 and 2,080.08

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Solution

The fourth proportional to 5,200.83, 7,795.53 and 2,080.08 is: 3,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.83 : 7,795.53 = 2,080.08 : x
  2. Step 2: Convert to fraction form
    5,200.83/7,795.53 = 2,080.08/x
  3. Step 3: Cross multiply
    5,200.83x = 7,795.53 × 2,080.08
  4. Step 4: Simplify right side
    5,200.83x = 16,215,326.04
  5. Step 5: Solve for x
    x = 16,215,326.04/5,200.83
  6. Step 6: Final answer
    x = 3,117.83

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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.