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Finding the Fourth Proportional to 3,000.72, 4,503.11 and 1,052.94

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Solution

The fourth proportional to 3,000.72, 4,503.11 and 1,052.94 is: 1,580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.72 : 4,503.11 = 1,052.94 : x
  2. Step 2: Convert to fraction form
    3,000.72/4,503.11 = 1,052.94/x
  3. Step 3: Cross multiply
    3,000.72x = 4,503.11 × 1,052.94
  4. Step 4: Simplify right side
    3,000.72x = 4,741,499.38
  5. Step 5: Solve for x
    x = 4,741,499.38/3,000.72
  6. Step 6: Final answer
    x = 1,580.12

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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.