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Finding the Fourth Proportional to 5,200.20, 7,799.53 and 1,690.53

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Solution

The fourth proportional to 5,200.20, 7,799.53 and 1,690.53 is: 2,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.20 : 7,799.53 = 1,690.53 : x
  2. Step 2: Convert to fraction form
    5,200.20/7,799.53 = 1,690.53/x
  3. Step 3: Cross multiply
    5,200.20x = 7,799.53 × 1,690.53
  4. Step 4: Simplify right side
    5,200.20x = 13,185,339.45
  5. Step 5: Solve for x
    x = 13,185,339.45/5,200.20
  6. Step 6: Final answer
    x = 2,535.54

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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.