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Finding the Fourth Proportional to 4,770.99, 7,145.16 and 3,780.62

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Solution

The fourth proportional to 4,770.99, 7,145.16 and 3,780.62 is: 5,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.99 : 7,145.16 = 3,780.62 : x
  2. Step 2: Convert to fraction form
    4,770.99/7,145.16 = 3,780.62/x
  3. Step 3: Cross multiply
    4,770.99x = 7,145.16 × 3,780.62
  4. Step 4: Simplify right side
    4,770.99x = 27,013,118.47
  5. Step 5: Solve for x
    x = 27,013,118.47/4,770.99
  6. Step 6: Final answer
    x = 5,661.96

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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.