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Finding the Fourth Proportional to 5,845.64, 8,768.49 and 1,950.03

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Solution

The fourth proportional to 5,845.64, 8,768.49 and 1,950.03 is: 2,925.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.64 : 8,768.49 = 1,950.03 : x
  2. Step 2: Convert to fraction form
    5,845.64/8,768.49 = 1,950.03/x
  3. Step 3: Cross multiply
    5,845.64x = 8,768.49 × 1,950.03
  4. Step 4: Simplify right side
    5,845.64x = 17,098,842.91
  5. Step 5: Solve for x
    x = 17,098,842.91/5,845.64
  6. Step 6: Final answer
    x = 2,925.06

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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.