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Finding the Fourth Proportional to 5,895.76, 8,842.20 and 2,000.08

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Solution

The fourth proportional to 5,895.76, 8,842.20 and 2,000.08 is: 2,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.76 : 8,842.20 = 2,000.08 : x
  2. Step 2: Convert to fraction form
    5,895.76/8,842.20 = 2,000.08/x
  3. Step 3: Cross multiply
    5,895.76x = 8,842.20 × 2,000.08
  4. Step 4: Simplify right side
    5,895.76x = 17,685,107.38
  5. Step 5: Solve for x
    x = 17,685,107.38/5,895.76
  6. Step 6: Final answer
    x = 2,999.63

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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.