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Finding the Fourth Proportional to 5,941.32, 8,909.28 and 2,044.68

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Solution

The fourth proportional to 5,941.32, 8,909.28 and 2,044.68 is: 3,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.32 : 8,909.28 = 2,044.68 : x
  2. Step 2: Convert to fraction form
    5,941.32/8,909.28 = 2,044.68/x
  3. Step 3: Cross multiply
    5,941.32x = 8,909.28 × 2,044.68
  4. Step 4: Simplify right side
    5,941.32x = 18,216,626.63
  5. Step 5: Solve for x
    x = 18,216,626.63/5,941.32
  6. Step 6: Final answer
    x = 3,066.09

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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.