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Finding the Fourth Proportional to 4,765.62, 7,148.14 and 2,830.12

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Solution

The fourth proportional to 4,765.62, 7,148.14 and 2,830.12 is: 4,245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.62 : 7,148.14 = 2,830.12 : x
  2. Step 2: Convert to fraction form
    4,765.62/7,148.14 = 2,830.12/x
  3. Step 3: Cross multiply
    4,765.62x = 7,148.14 × 2,830.12
  4. Step 4: Simplify right side
    4,765.62x = 20,230,093.98
  5. Step 5: Solve for x
    x = 20,230,093.98/4,765.62
  6. Step 6: Final answer
    x = 4,245.01

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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.