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Finding the Fourth Proportional to 4,553.65, 6,830.96 and 1,433.76

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Solution

The fourth proportional to 4,553.65, 6,830.96 and 1,433.76 is: 2,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.65 : 6,830.96 = 1,433.76 : x
  2. Step 2: Convert to fraction form
    4,553.65/6,830.96 = 1,433.76/x
  3. Step 3: Cross multiply
    4,553.65x = 6,830.96 × 1,433.76
  4. Step 4: Simplify right side
    4,553.65x = 9,793,957.21
  5. Step 5: Solve for x
    x = 9,793,957.21/4,553.65
  6. Step 6: Final answer
    x = 2,150.79

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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.