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Finding the Fourth Proportional to 4,830.96, 7,245.96 and 1,543.46

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Solution

The fourth proportional to 4,830.96, 7,245.96 and 1,543.46 is: 2,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.96 : 7,245.96 = 1,543.46 : x
  2. Step 2: Convert to fraction form
    4,830.96/7,245.96 = 1,543.46/x
  3. Step 3: Cross multiply
    4,830.96x = 7,245.96 × 1,543.46
  4. Step 4: Simplify right side
    4,830.96x = 11,183,849.42
  5. Step 5: Solve for x
    x = 11,183,849.42/4,830.96
  6. Step 6: Final answer
    x = 2,315.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.