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Finding the Fourth Proportional to 5,069.62, 7,599.79 and 1,780.92

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Solution

The fourth proportional to 5,069.62, 7,599.79 and 1,780.92 is: 2,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.62 : 7,599.79 = 1,780.92 : x
  2. Step 2: Convert to fraction form
    5,069.62/7,599.79 = 1,780.92/x
  3. Step 3: Cross multiply
    5,069.62x = 7,599.79 × 1,780.92
  4. Step 4: Simplify right side
    5,069.62x = 13,534,618.01
  5. Step 5: Solve for x
    x = 13,534,618.01/5,069.62
  6. Step 6: Final answer
    x = 2,669.75

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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.