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Finding the Fourth Proportional to 4,830.14, 7,245.14 and 1,543.20

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Solution

The fourth proportional to 4,830.14, 7,245.14 and 1,543.20 is: 2,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.14 : 7,245.14 = 1,543.20 : x
  2. Step 2: Convert to fraction form
    4,830.14/7,245.14 = 1,543.20/x
  3. Step 3: Cross multiply
    4,830.14x = 7,245.14 × 1,543.20
  4. Step 4: Simplify right side
    4,830.14x = 11,180,700.05
  5. Step 5: Solve for x
    x = 11,180,700.05/4,830.14
  6. Step 6: Final answer
    x = 2,314.78

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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.