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Finding the Fourth Proportional to 5,807.80, 8,705.22 and 4,651.12

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Solution

The fourth proportional to 5,807.80, 8,705.22 and 4,651.12 is: 6,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.80 : 8,705.22 = 4,651.12 : x
  2. Step 2: Convert to fraction form
    5,807.80/8,705.22 = 4,651.12/x
  3. Step 3: Cross multiply
    5,807.80x = 8,705.22 × 4,651.12
  4. Step 4: Simplify right side
    5,807.80x = 40,489,022.85
  5. Step 5: Solve for x
    x = 40,489,022.85/5,807.80
  6. Step 6: Final answer
    x = 6,971.49

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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.