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Finding the Fourth Proportional to 5,847.45, 8,729.55 and 5,642.43

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Solution

The fourth proportional to 5,847.45, 8,729.55 and 5,642.43 is: 8,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.45 : 8,729.55 = 5,642.43 : x
  2. Step 2: Convert to fraction form
    5,847.45/8,729.55 = 5,642.43/x
  3. Step 3: Cross multiply
    5,847.45x = 8,729.55 × 5,642.43
  4. Step 4: Simplify right side
    5,847.45x = 49,255,874.81
  5. Step 5: Solve for x
    x = 49,255,874.81/5,847.45
  6. Step 6: Final answer
    x = 8,423.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.