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Finding the Fourth Proportional to 4,354.05, 6,529.71 and 1,580.21

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Solution

The fourth proportional to 4,354.05, 6,529.71 and 1,580.21 is: 2,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.05 : 6,529.71 = 1,580.21 : x
  2. Step 2: Convert to fraction form
    4,354.05/6,529.71 = 1,580.21/x
  3. Step 3: Cross multiply
    4,354.05x = 6,529.71 × 1,580.21
  4. Step 4: Simplify right side
    4,354.05x = 10,318,310.80
  5. Step 5: Solve for x
    x = 10,318,310.80/4,354.05
  6. Step 6: Final answer
    x = 2,369.82

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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.